Question

Evaluate https://wca.sooschools.com/media/g_alg02_ccss_2013/11/img_alg02u11c02q08d_12.gif
The value of this expression is

Answer 1

@amistre64

Answer 2

@tHe_FiZiCx99

Answer 3

@Aimee98

Answer 4

\[\sin^2(x)(1-\cos^2(x))=\sin^2(x)\sin^2(x)=\sin^4(x)\]

Answer 5

if that is an exponent of \(-1\) outside, then it is
\[\frac{1}{\sin^4(x)}\]

Answer 6

Thank you. Can you help me with one more question?

Answer 7

sure

Answer 8

θ is in Quadrant III and https://wca.sooschools.com/media/g_alg02_ccss_2013/11/img_alg02u11c01q08d_07.gif
A. Evaluate cotθ.

B. In two or more sentences, explain how to find the value of cotθ.

Answer 9

btw the last one can be written as
\[\csc^4(x)\]

Answer 10

cotθ

Answer 11

ok

Answer 12

\[\cos^2(x)=\frac{1}{4}\]
\[\cos(x)=\pm\frac{\sqrt2}{2}\]

Answer 13

since you are in quadrant 3 it is negative, so
\[\cos(x)=-\frac{\sqrt2}{2}\] making \(x=\frac{5\pi}{4}\) if you are working in radians

Answer 14

Thanks

Answer 15

then you can find \[\cot(\frac{5\pi}{4}) \] right?

Answer 16

no

Answer 17

is it 225?

Answer 18

@satellite73

Answer 19

@satellite73