What is cot^2(x)-cot^2(x)cos^2(x) ?

The solution to cot^2(x)-cot^2(x)cos^2(x) is cos^2(x)

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simplify cot^2(x)-cot^2(x)cos^2(x)

simplify

cot^{2} (x) - cot^{2} (x) cos^{2} (x)

cos^{2} (x)

Solution steps

cot^{2} (x) - cot^{2} (x) cos^{2} (x)

Express with sin, cos

= \frac{cos ^{2} ( x ) - cos ^{4} ( x )}{sin ^{2} ( x )}

Rewrite using trig identities

= cos^{2} (x)

[\frac{2 x - 2 y ^{2} \cdot ( - x ) 2}{( 2 y ^{4} ) 4}] 4

\frac{2 ^{4}}{( - 4 ) + 25 \cdot 4 + ( 3 \cdot 3 - 5 ) ^{2}}

(3 + 4 i) + (5 - 2 i)

(- 5) (i)

\frac{( tan ( x ) + cot ( x ) )}{sec ( x )}

What is cot^2(x)-cot^2(x)cos^2(x) ?
The solution to cot^2(x)-cot^2(x)cos^2(x) is cos^2(x)