If sin^4 x + sin^2 x = 1. value of cot^4 x +cot^2 x
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Step-by-step explanation:
sin4x + sin2x = 1 ⇒ sin4x = 1 – sin2x ⇒ sin4x = cos2x ...(i) ∴ cot4x + cot2x = cot2x (1 + cot2x) = cot2x . cosec2x = c o s 2 x s i n 2 x . s i n 2 x = c o s 2 x s i n 4 x =cos2xsin2x.sin2x=cos2xsin4x = = c o s 2 x c o s 2 x =cos2xcos2x = 1.
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