NEED HELP ASAP !! WILL MARK BRAINLEAST SHOW WORK TOO !!!

Question 1

NEED HELP ASAP !! WILL MARK BRAINLEAST
SHOW WORK TOO !!!

Question 2

Explanation:

$(1 + \cos(x) )(1 - \cos(x) )$

$1 - \cos {}^(2) (x)$

$= \sin {}^(2) (x)$

b.

$\frac{1}{ \cot {}^(2) (x) } - \frac{1}{ \cos {}^(2) (x) }$

$\frac{1}{ \frac{ \cos {}^(2) (x) }{ \sin { }^(2) (x) } } - \frac{1}{ \cos {}^(2) (x) }$

$\frac{1}{ \cot {}^(2) (x) } - \frac{ \csc {}^(2) (x) {} }{ \cot {}^(2) (x) }$

$\frac{ - \cot {}^(2) (x) }{ \cot {}^(2) (x) }$

c.

$\sec {}^(2) ( (\pi)/(2) - x ) )( \sin {}^(2) (x) - \sin {}^(4) (x))$

$( \csc {}^(2) (x) )( \sin {}^(2) (x) - \sin {}^(4) (x )$

$\csc {}^(2) (x) ( \frac{1}{ \csc {}^(2) (x) } - \frac{1}{ \csc {}^(4) (x) } )$

$1 - \frac{1}{ \csc {}^(2) (x) }$

$1 - \sin {}^(2) (x)$

$\cos {}^(2) (x)$

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