Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

Answers

Answer 1

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved


Related Questions

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!!

Answers

Answer:

a. 35 people participated in the walk.

b. About 16 people traveled more than 14 kilometers.

Step-by-step explanation:

(Warning: This may be wrong)

Arnold had $37 to spend pens & pencils. The pens were $1 more than the pencils. He Bought 1 pen and 3 pencils. How much did the pens cost

Answers

The pens cost $10 if the total was $37

Work:

Pen: ||||||||||
Pencil: |||||||||
Pencil: |||||||||
Pencil: |||||||||

Basically the division groups you probably learned in elementary.


Because the question mentioned that pens were $1 more than pencils. Pens automatically start with one extra in sorting.

9(3) + 10
= 37

(9+9+9) + 10
= 37

Above adding everything together to get our answer.

Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm

Answers

Answer:

take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root

What is the asymptote of f(x)=2x-5

Answers

Answer:

No asymptote

Step-by-step explanation:

This equation is linear, so it will not have an astmptote.

Determine the intercepts of the line. Do not round your answers. 2 x + 5 y = − 6

Answers

The y-intercept for the line, 2x + 5y = -6, is: 1.2.

Equation of a Line in Slope-Intercept FormThe equation of a line can be represented in slope-intercept form as: y = mx + b."b" is the y-intercept.

Given:

2x + 5y = -6

Rewrite in slope-intercept form

5y = -2x - 6

Divide both sides by 5

y = -2/5x - 6/5

"b" = -6/5 = 1.2

Therefore, the y-intercept for the line, 2x + 5y = -6, is: 1.2.

Learn more about y-intercept on:

https://brainly.com/question/10700419

What is the domain of function p?
p(x)=√x-1 + 2

Answers

Answer:

the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )

Sean needs to save up at least $600 for a trip this summer. He earns $15 per hour at his part-time job. Sean also signed up to tutor after school for an additional $20 per hour. Write an inequality that describes the situation.​

Answers

Answer:

[tex]15x + 20x \geqslant 600[/tex]

Step-by-step explanation:

The amount of money he earns needs to be greater than or equal to 600.

​Find the interest on the loan if you borrowed \$ 5000$5000 at 5 \%5% interest for 11 year

Answers

Answer:

1,511$

Step-by-step explanation:

PlEASE I REALLY NEED HELP PLEASE I BEG OF YOU PLEASE!

Answers

Answer:

sure whats the question ? :)

Step-by-step explanation:

The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation.

Answers

Answer:

by  [tex]\bf 7.96 *10^6[/tex]  , the mass of the golden gate is larger than the Eiffel Tower

Step-by-step explanation:

[tex]\large \boldsymbol {} \sf 8,05\cdot 10^8-9,16\cdot 10^6 = 805\cdot 10^6-9,16\cdot 10^6 = \\\\ 10^6(805-9,16)=10^6\cdot 795,86 \\\\ Standart \ form \ 10^6\cdot 795,86 \approx 10^8\cdot 7,96 \ kg[/tex]

Answer:

7.96 × 10⁸ kg more

Step-by-step explanation:

Subtract the mass  Eiffel Tower from the mass Golden Gate Bridge:

8.05 × 10⁸ - 9.16 × 10⁶ = (805 - 9.16) × 10⁶ = 795.84 × 10⁶ =7.96 × 10⁸ kg

Pls help :) need asap :)

Answers

Answer:

Step-by-step explanation:

It is not a function, a vertical line passes through two graphed points.

(-1,3) and (-1,2)

What is the domain of f?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Step-by-step explanation:

Square root of 15 rounded to the nearest tenth

Answers

Answer:

3.9

√15=3.87298334... so rounded to the tenth is 3.9

x^2+2n-35
the options are:
x + 2)(x - 35)

(x - 5)(x + 7)

(x + 5)(x - 7)

(x - 5)(x - 7)

Answers

[tex]\large \boldsymbol {} 1-st \ method \\\\ x^2+2x-35=0 \\\\ x^2+\underbrace{7x-5x}_{2x}-35=0 \\\\( x^2+7x)+(-5x-35) =0 \\\\ x\underline {(x+7)}-5\underline{(x+7)}=0 \\\\ \boxed{(x-5)(x+7)=0 } \\\\ ---------\\\\ 2-nd \ method \\\\ x^2+2x-35=0 \\\\ \begin {cases} x_1+x_2=-2 \\ x_1x_2=-35\end{cases} \Longrightarrow x_1=5 \ ; \ x_2=-7 \\\\\\ x^2+5x-35=(x-x_1)(x-x_2)=\boxed{(x-5)(x+7 )}[/tex]

[tex]\rm \large \boldsymbol {} Answer : \ \boxed{2) \ (x-5)(x+7 )}[/tex]

please can somebody help me? I need to do this but i dont know how to

Answers

Answer:

n = 3.16 units; p = 5 units

Step-by-step explanation:

to find the length of the lines you need to use the pythagorean  theorem or a^2 + b^2 = c^2

in this case a is x, b is y, and c is the length

so for n it is:

1^2 + 3^2 = c^2 -->

1 + 9 = c^2 -->

10 = c^2

c = 3.16227766 or about 3.16 (this is n's length)

for p it is:

3^2 + 4^2 = c^2 -->

9 + 16 = c^2 -->

25 = c^2 -->

c = 5 (this is p's length)

how would you write 9x(4+9)= in distributive proparty?

Answers

Answer:

117

Step-by-step explanation:

not sure if the x after the 9 was a variable of the letter x or multiplication i put it as multiplication.

how many significant figures are in the measurement 4857.168 cm?

Answers

It has 7!
I hope that this answer helped you❤️

Can anyone help me out?

Answers

Answer:

2 1/9

Step-by-step explanation:

Check out the image below!

(3x + 2) to the power of 2(i didnt know how to put that on keybored)

Answers

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

Does anyone know this answer??

Answers

81

Use the given equation and plug in the terms.
n=20
d=4
a1=5

an = 5 +(20-1)4
=5+(19)4
=5+76
=81

HELP DUE IN 10 MINUTES!!!

Two step equations word problems

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.

1. Write an equation to determine the original price per pound (p)

2. Find the original price per pound.

Answers

Answer:

$1.21

Step-by-step explanation:

Original price = pNew price = p + 0.75

Equation:

3(p + 0.75) = 5.88p + 0.75 = 5.88/3p + 0.75 = 1.96p = 1.96 - 0.75p = 1.21

3. What type(s) of symmetry is/are shown in the figure below!
Oreflectional symmetry only
Oreflectional and point syrometry only
reflectional and rotational symmetry only
reflectional, rotational, and point symmetry

Answers

Answer: reflectional, rotational, and point symmetry

Answer:

For the Symmetry Quiz (connexus)

Step-by-step explanation:

1. Reflectional and point symmetry

2. Reflectional symmetry

3. Reflectional, Rotational and point symmetry

4. A rolling pen

5. 10

What is -2x+21
nnnnnnnnnnn

Answers

Answer:

the pic or its 19x

Step-by-step explanation:

can I have brainlist

What is the missing value?

Answers

the answer is 40

in

X 1 (+1) 2 (+1) 3 (+1) 4 (+1) 5

Y 4 (+9) 13 (+9) 22 (+9) 31 (+9) 40

Answer:

the missing value is 40 .

Step-by-step explanation:

if observed clearly the difference between every number is 9.

so 31+9 = 40 is the correct answer.

hope this helps you.

Solve this equation. Enter your answer in the box. -5/6 - 2/3e=24

Answers

Answer:

[tex] - \frac{5}{6} - \frac{2}{3} e = 24 \\ - 1.2 - 1.5e = 24 \\ - 1.5e = 24 + 1.2 \\ - 1.5e = 25.2 \\ e = - \frac{25.2}{1.5} \\ e = - 16.8 [/tex]

Cuanto es 103+80 entre 4

Answers

Answer:

732

Step-by-step explanation:

In Livingston, the library is 9 miles south of the courthouse and 2 miles west of the community swimming pool. If a bird flew directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse, what would be the total distance flown? If necessary, round to the nearest tenth.

Answers

Answer:

i think it's 18 but im not sure

Step-by-step explanation:

Use the distributive property to remove the parentheses.
-6(-v+2y-5)

Answers

Answer:

6v-12y+30

Step-by-step explanation:

Hope this helps:)

I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of

Answers

Answer:

14

Step-by-step explanation:

Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator

[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]

You now divide the fractions to find the amount of correct measurements needed.

[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.

This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]

You will need 14 correct measurements.

How do I solve that

Answers

Answer: 6.4

Step-by-step explanation:

you take help of ratio in this case.

8/x = 2.5/2

or, (2.5).(x) = (8).(2)

or, x = 16/2.5

so, x = 6.4

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