化简 sin^4(a)+sin^2(a)cos^2(a)

解答

化简

sin^{4} (a) + sin^{2} (a) cos^{2} (a)

sin^{2} (a)

求解步骤

sin^{4} (a) + sin^{2} (a) cos^{2} (a)

使用毕达哥拉斯恒等式:

cos^{2} (x) + sin^{2} (x) = 1

= sin^{2} (a) \cdot 1

分解

sin^{4} (a) + sin^{2} (a) cos^{2} (a) : sin^{2} (a) (sin^{2} (a) + cos^{2} (a))

= sin^{2} (a) (sin^{2} (a) + cos^{2} (a))

= sin^{2} (a)

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