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

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

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expand sin^2(2x)*(cot^2(x)-tan^2(x))

expand

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

sin^{2} (2 x) cot^{2} (x) - sin^{2} (2 x) tan^{2} (x)

Solution steps

sin^{2} (2 x) (cot^{2} (x) - tan^{2} (x))

Apply the distributive law:

a (b - c) = ab - a c

sin^{2} (2 x) (cot^{2} (x) - tan^{2} (x)) = sin^{2} (2 x) cot^{2} (x) - sin^{2} (2 x) tan^{2} (x)

= sin^{2} (2 x) cot^{2} (x) - sin^{2} (2 x) tan^{2} (x)

\frac{( s - 1 ) \cdot ( s + 7 )}{( s + 1 ) \cdot ( s - 2 ) \cdot ( s + 3 )}

(x^{2} + y^{2}) d x + y^{2} d y

(- 2 cot (x) csc (x)) (csc (x) + 2)

(2 x - 1) ln (3)

π^{2} (12 - 3 r)

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