Prove the identity.
(1 - sin’x) cscx = cosx cotx
=
Note that each Statement must be based on
the right of the Rule.
rules:
algebra, reciprocal, quotient, pythagorean, odd/even
Answers
[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\\ [1-sin^2(x)]csc(x)~~ = ~~cos(x)cot(x) \\\\[-0.35em] ~\dotfill\\\\\ [1-sin^2(x)]csc(x)\implies cos^2(x)csc(x)\implies cos^2(x)\cdot \cfrac{1}{sin(x)} \\\\\\ cos(x)\cdot \cfrac{cos(x)}{sin(x)}\implies cos(x)cot(x)[/tex]
Related Questions
Please help with this problem.
Answers
Answer:
whats the problem it doesnt say anything
Whats the rate of change for (0,3) and (2,-5)
Answers
Answer:
[tex]\boxed{\sf{-4}}[/tex]Step-by-step explanation:
Solve a slope using a rate of change.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
⇒ y2=(-5)
⇒ y1=3
⇒ x2=2
⇒ x1=0
Rewrite the problem down.
⇒ (-5)-3/2-0
Solve.
⇒ -8/2
Divide.
⇒ -8/2=-4
Therefore the slope is -4, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Find the area of the irregular figure.
Answers
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
the other two questions are asking what is the actual length and what is the actual witdh.so yea...
Answers
Answer:
the answer could be 60
Step-by-step explanation:
I could be wrong sorry if I am
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.
Answers
You can rewrite the trajectory equation as y = -16(x-1)^2 + 19
Answers
I believe the answer is -16x+35
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answers
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
Lindiwe is twice as old as Preeya and six years older than Sue . Their combined ages total 39 years . How old is Lindiwe
Answers
Answer:
Lindiwe is 18
Step-by-step explanation:
Lindiwe = L
Preeya = L/2
Sue = L-6
Their combined ages total 39 years
L+(L/2) + L-6 = 39
2.5L = 45
L=18
Lindiwe=18
Preeya= 9 (half of Lindiwe)
Sue = 12 (6 lessthan Lindiwe)
18+9+12 = 39
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answers
Answer:
the answer is 10.52547%
Step-by-step explanation:
Find the sum of
−
3
7
and its opposite
Answers
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
4.
Which point on the number line
represents 0.3?
Answers
It's C promise me it's C.
The table represents a linear function that shows the number of stamps y that a student collects after x months. Complete the table.
Answers
Answer:
24
Step-by-step explanation:
a linear function has the form: y = ax + b
According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19
Then our function is of the form: y = 19x + 5
Now ,we replace x by 1 in the function to get the missing value :
Missing value = 19(1) + 5 = 19 + 5 = 24.
Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
Answers
convert the angle 3pi/5 radians to degrees
Answers
well, we know that π is 180°, so then what is 3π/5?
[tex]\begin{array}{ccll} radians°rees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]
Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?
Answers
A town population was 6000 people last year. The population this year is expected to increase by 4%. By how many people is the population expected to increase this year?
Answers
the pop will increase by 240 people
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
Answers
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
Please help i really need help with this one
9.
about 5/7 of the earth's surface is covered with water.
about 88 957 440 km squared is land. in km², about how
much of the earth's surface is covered with water?
Answers
44478720=1/7 of the earths surface
222393600km^2 is how much water covers the earth
Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?
Answers
Answer:
2x
Step-by-step explanation:
X = chris's money
2 times chris's money = 2x
A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.
Answers
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
[tex]\boxed{y-y1=m(x-x1)}[/tex]
y1 = -5
m=-5
x1=-1
[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]
[tex]\boxed{y+5=-5(x+1)}[/tex]
Convert to slope-intercept:-
[tex]\boxed{y+5=-5x-5}[/tex]
[tex]\boxed{y=-5x-5-5}[/tex]
Finally,
[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST
What is the value of x in the figure?
Enter your answer in the box.
x =
Answers
Answer:
29 is the correct answer because subtract 90 from 61 we get 29
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
29°
Step-by-step explanation:
We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.
So, we would have to subtract 61 from 90 to find the missing value.
90 - 61 = 29
Therefore, x equals 29°
-kiniwih426
John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *
Answers
Answer:
330.05
Step-by-step explanation:
because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05
According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles
Answers
Answer:
10 Tadpoles were mesured in the line plot
Answer:
10 tadpoles
Step-by-step explanation:
look at the diagram
count the x's
you get your answer
Which words describe an angle measuring 92º?
Answers
Answer:
obtuse
Step-by-step explanation:
It is obtuse because it is greater than 90 degrees!
heeeeeeeeeeelllllllllppppppppppppp
Answers
Answer:
88
Step-by-step explanation:
The area of a triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The height here is 11 and the base is 16
1/2*16*11 = 88 units square
-5x+2<12 please someone help
Answers
Answer:
[tex]\boxed{\sf{x > -2}}[/tex]Step-by-step explanation:
Put the term x on one side of the equation.
-5x+2<12Subtract by 2 from both sides.
[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]
Solve.
Subtract the numbers from left to right.
⇒ 12-2=10
⇒ -5x<10
Multiply by -1 from both sides.
⇒ (-5x)(-1)>10(-1)
Solve.
Multiply the numbers from left to right.
-5x*-1=5x
10*-1=-10
→ 5x>-10
Divide by 5 from both sides.
→ 5x/5>-10/5
Solve.
Divide the numbers from left to right.
-10/5=-2
[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]
Therefore, the correct answer is x>-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]x > -2[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5x+2 < 12[/tex]
To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.
[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]
Which means your answer is "x > -2."
Hope this helps.
If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-
Answers
Answer:
i. 31/25
ii. 1/5
Step-by-step explanation:
you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.
A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?
Answers
Answer:
15 days
Step-by-step explanation:
120÷8=15
Are you sure it's high school math?
Solve for x. Leave your answer in simplest radical form
Answers
Answer:
x = 2√7
using Pythagoras theorem:
7² + ?² = 9²?² = 81 - 49? = √32? = 4√2For the bottom part:
x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7Answer:
this is my answer
5.29
Step-by-step explanation:
Hope this helps
I don’t understand what to do and I’m having trouble with working it.
Answers
Answer:
y=112
Step-by-step explanation:
If x=3.5 and y=14, you would divide 28 by 3.5 to get 8. Since x and y are directly proportional, you would times 14 by 8 to get y=112.