Question

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Answer 1

Answer:

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Answer 2

Hello !

Given:-

if sinθ + sin²θ = 1

then prove cos²θ + cos⁴θ = 1

solution:-

sinθ + sin²θ = 1

sinθ = 1 - sin²θ

sinθ = cos²θ

(squaring both the sides)

sin²θ = cos⁴θ _ _ _ _ _ _ _ _ eq.1

(sin²θ= 1-cos²θ)

so, putting this value in eq. 1 we get,

1- cos²θ = cos⁴θ

cos²θ + cos⁴θ = 1 (by transposition)

Hence proved.

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