What is sin^2(x)-sin^4(x) ?

The solution to sin^2(x)-sin^4(x) is cos^2(x)sin^2(x)

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simplify sin^2(x)-sin^4(x)

simplify

sin^{2} (x) - sin^{4} (x)

cos^{2} (x) sin^{2} (x)

Solution steps

sin^{2} (x) - sin^{4} (x)

Factor

sin^{2} (x) - sin^{4} (x) : sin^{2} (x) (1 - sin^{2} (x))

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

Rewrite using trig identities

= cos^{2} (x) sin^{2} (x)

3 x^{2} - 27 y^{2}

(1 - cos (2 x)) (1 + cot (2 x))

36000

(cos^{2} (x))^{3}

What is sin^2(x)-sin^4(x) ?
The solution to sin^2(x)-sin^4(x) is cos^2(x)sin^2(x)