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Vesnalui [34]
3 years ago
14

Cosx+1/sin^3x=cscx/1-cosx

Mathematics
1 answer:
ANTONII [103]3 years ago
8 0
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).

 </span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).

 </span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.

 </span>
<span>I hope this helps! </span>
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Ilia_Sergeevich [38]

Answer:

Translation 1 unit left

Step-by-step explanation:

we have

f(x)=x

g(x)=(x+1)

we know that

The rule of the transformation of f(x) to g(x) is equal to

f(x) ------> g(x)

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That means----> The translation is 1 unit to the left

6 0
3 years ago
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Maksim231197 [3]

Answer:

y = -17/2

Step-by-step explanation:

Substitute with the givens.

30= 8(8) + 4y.

Multiply parentheses.

30 = 64 + 4y

Subtract.

30-64= -34

-34 = 4y.

Divide each side by 4.

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hope that is right!

8 0
3 years ago
I need help solve please.
gtnhenbr [62]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Please answer the attached question by selecting of the the given answers.
Alchen [17]

Answer:

The correct answer is option A. Base = 11 cm and height = 13 cm

Step-by-step explanation:

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<u>To find the base an d height of original triangle</u>

Let x be the original base 'b' then the height  h = x + 2

New height h = x + 2 + 2 = x + 4

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x + 4x - 165 = 0

Solving we get x = 11 and x = -15

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Therefore base = 11 and height = x + 2 = 13 cm

The correct answer is option A. Base = 11 cm and height = 13 cm

5 0
3 years ago
-0.6 ÷ 3/4<br>1. 0.8<br>2. -0.8<br>3. -0.15<br>4. 0.15​
Delicious77 [7]
You answer is the second one which is -0.8
5 0
3 years ago
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