Mathematics High School

tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity​

Answers

Answer 1

your proving is in photo

TanA -cotA = SecA(1-cot).Trigonometic Identity

Related Questions

5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?

Answers

Answer:

$25.00 which is $24.50

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): Dot was discarded near "x.s".

(2): "37." was replaced by "(37/1)".

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

Help me please!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

What is the discriminate?

Answers

so it’s basically asking for the difference

It is 49,280 yards from Topeka to Tonko. How many miles
is this?

Answers

Answer:

Step-by-step explanation:

1 yard = 0.000568 miles

49280 yards = 28 miles

1 mile = 1,760 yards

Divide total feet by 1760

49,280 / 1760 = 28 miles.

Solve each system to find the answer

Answers

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

PLS I NEED HELP ASAP

Answers

Answer:

Answer C

.....,.................

Use the sine rule to calculate BC :)

Answers

Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

Learn more : https://brainly.com/question/20379472?referrer=searchResults

Which expression is equal to the expression below?
(7•2)^7



A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7​

Answers

Answer:

c

Step-by-step explanation:

B is the correct answer

Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms

Answers

Answer:

x = 2

Step-by-step explanation:

6x + -5 = 2x + 3

-5 + 6x = 2x + 3

-5 + 6x = 3 + 2x

-5 + 6x + -2x = 3 + 2x + -2x

-5 + 4x = 3 + 2x + -2x

-5 + 4x = 3 + 0

-5 + 4x = 3

-5 + 5 + 4x = 3 + 5

0 + 4x = 3 + 5

4x = 3 + 5

4x = 8

x = 2

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12

Answers

Answer:

C) 4 < x < 12


Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf

Answers

Answer: So the star equals 4 and the triangle equals 1

Step-by-step explanation:

Answer:
(4,1)

Explanation:
Stars = 4
Triangles =1

The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?

Answers

Answer:

The value of the car will be x - (0.15)x after a year.

Step-by-step explanation:

The car was 15% more when it first came out, and the price went down by 15% after a year.

Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.

Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.

Therefore, the value of the car will be x - (0.15)x after a year.

Hope this helps! :D

1. Dominic earned $23.00 at the local
supermarket moving boxes for 2 hours. If
his pay rate stays the same, how much
would he earn in 6.5 hours?

Answers

Answer:

70.5

Step-by-step explanation:

The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts

Answers

Answer:

scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:

What is the value of 7 in 46.897

Answers

Answer:

If your asking its place value its Thousandths

Step-by-step explanation:

.1 is tenths

.01 is hundredths

.001 is thousandths

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

brainliest if correct1+1​

Answers

Answer:

11

Step-by-step explanation:

:>

Answer:

1+1=2 is the answer

Step-by-step explanation:

mark me as brainlist

find the equation of the line . PLEASE HELP

Answers

Y=1/2x-3............

Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

A. Write a linear model (equation) that represents the height of the plant after d days

B. What will the height of the plant be after 20 days

Answers

A. y=1.5d+5
B. 35 cm high

Answer:

A. y=1.5d+5

B. 35 cm high

Step-by-step explanation:

hope this helps

Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.

Answers

Answer:

Average (additional) income = 100 - 50/x

Step-by-step explanation:

Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands

Ryan's additional average income = Income / Quantity of watches sold

(100x - 50) / x

= 100 - 50/x

Which equation represents a linear function? (5 points)

Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1

Answers

Answer :

y = 3x + 1

Explanation:
Answer: 2 - y =3x + 1

2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)

Answers

the correct answer:

y=-2x-10

explanation:

11.sınıf temel düzey matematik geometri :(

Answers

Step-by-step explanation:

öklid kurali var uygularsak:

(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?

Answers

Answer:

[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

Money

A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265

Number

A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155

Here is our system of equations:

[tex]1.25s+2.50g=265 \\s+g=155[/tex]

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

[tex]1.25s +2.50g=265[/tex]

[tex]1.25(155-g)+2.50g=265[/tex]

Distribute the 1.25

1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

[tex]193.75-1.25g+2.50g=265[/tex]

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

[tex]193.75-1.25g+2.50g=265-193.75[/tex]       (Subtract 193.75)

[tex]-1.25g+2.50g=265-193.75[/tex]      

[tex]1.25g=71.25[/tex]      (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

[tex]s+g=155[/tex]

[tex]s+57=155[/tex]

Subtract 57 from both sides of the equation to isolate the variable, s.

[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]

Ashley sold 57 large cups and 98 small cups.

small cup she sold = x = 98

large cup she sold = y =57

Matt gets $0.10 every 2 days
How much does he get in 6 days?

Answers

Answer:

$0.30

Step-by-step explanation:

2 days = $0.10

6 days = [tex]\frac{6}{2}[/tex] × $0.10

           = $0.30

Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?

A. 42
B. 81
C. 158
D. 398

Help me quickly please!!!

Answers

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

factor -1/6 out of -1/3x + 5/6y

Answers

Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Did i do it correctly? if no please give the explanation and answer! :):):)

Answers

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

Other Questions
PLS HELP BEING TIMED!!!Complete the following sentence.The basics of managing money such as balancing a checkbook and making a budget are _____skills Find three pieces of art online that shows how different cultures have incorporated and represented the myths and the art of the culture.For each piece of art answer the following questions: 1. what is the piece of art? Describe the art work and identified the culture is associated with.2. How is the myth or story represented in this piece of art? what's b ? plz help People seem to feel that hiding behind technology gives them the rightto forget their manners. Text messaging, emailing, and posting onlinecomments all remove the face-to-face element of social interactions. Arecent survey shows that 38 percent of comments on an online video-sharing site are negative.Which statement best evaluates the evidence used in the passage?OA. The evidence is irrelevant because it does not have anything to dowith people using good manners.O B. The evidence is relevant because it shows that people interactingOc. The evidence is relevant because it supports the idea that textingO D. The evidence is irrelevant because it does not address the amountthrough technology are often rude.and emailing are more personal than posting comments online.of positive interaction taking place through technology. For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.1. 172. 12.73. 114. 12.2 transversals angles How did the United States enteringthe war help the Allies? Who wrote Uncle Toms Cabin write two statements of inequality please! the movie theater has 250 seats 200 seats were sold for the current showing what percent of seats of seats are empty ) Write down the formation of a rural municipality. ]What main text structure did Carrie use in paragraph 9,and why?Problem and solution: to show SylviaEarle's solution for the problem ofdamage to the ocean.Sequence: to detail the sequence ofevents that led to Sylvia Earle's foundingMission Blue.Cause and effect: to explain the effects ofbad fishing practices and bad energypractices on the ocean.Compare and contrast: to contrast "HopeSpots" with the areas of the ocean thatare not protected. 11(n-3)=-4this is also for my friend Which of the following is a correct interpretation of the expression 2 - (-5) A The number that is 5 to the left of 2 on the number lineB The number that is 5 to the right of 2 on the number lineC The number that is 2 to the left of -5 on the number lineD The number that is 2 to the right of -5 on the number line Determine the products of this unbalanced reaction: Select all thatapplyBa+N2-Ba3N2BaN2Ba2NBaNBaNO2 HELPPPPPPP!!!!! chose the one you would use pls Name the figurative language and then give me an example of it. Then, explain it's purpose.*One paragraph will do. 12 points8. Javier worked out the following on his math homework: "Whatequation best represents the relationship between x and y in the graph?"Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he didwrong AND give the correct answer. (This question will be hand graded) *10962716810M possible number of extrema a 4th degree polynomial could have is: A. 3 or 1 extrema B. 4 or 2 extrema C. 5 extrema D. none What changes did the Second Great Awakening bring about in American Society?