What is expand (1-2sin^2(x)-cos^2(x))*cot^2(x) ?

The solution to expand (1-2sin^2(x)-cos^2(x))*cot^2(x) is -cos^2(x)

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expand (1-2sin^2(x)-cos^2(x))*cot^2(x)

expand

(1 - 2 sin^{2} (x) - cos^{2} (x)) \cdot cot^{2} (x)

- cos^{2} (x)

Solution steps

(1 - 2 sin^{2} (x) - cos^{2} (x)) cot^{2} (x)

= cot^{2} (x) (1 - 2 sin^{2} (x) - cos^{2} (x))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

cot^{2} (x) (1 - 2 sin^{2} (x) - cos^{2} (x)) = cot^{2} (x) \cdot 1 + cot^{2} (x) (- 2 sin^{2} (x)) + cot^{2} (x) (- cos^{2} (x))

= cot^{2} (x) \cdot 1 + cot^{2} (x) (- 2 sin^{2} (x)) + cot^{2} (x) (- cos^{2} (x))

Simplify

cot^{2} (x) \cdot 1 + cot^{2} (x) (- 2 sin^{2} (x)) + cot^{2} (x) (- cos^{2} (x)) : - cos^{2} (x)

= - cos^{2} (x)

sin (x (t - y))

(x - y) d x

\frac{4}{( e ^{x} + e ^{- x} ) ^{2}}

(x - 3) (x + 1)^{'}

(e^{2 x} - 1)^{2}

What is expand (1-2sin^2(x)-cos^2(x))*cot^2(x) ?
The solution to expand (1-2sin^2(x)-cos^2(x))*cot^2(x) is -cos^2(x)