Math, asked by HorrorKing, 9 months ago

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Answered by Anonymous
56

➫ correct question :-

⇝ If sinθ + sin²θ = 1 ,prove that cos²θ +cos⁴θ = 1

Given :-

→ sinθ + sin²θ = 1

To prove :-

→ cos²θ + cos⁴θ = 1

Solution :-

↬sinθ+ Sin²θ= 1.

↬sinθ = 1 - sin²θ

↬sinθ = cos²θ. [ ∵ 1 - sin²θ = cos²θ ]

↬sin²θ = cos⁴θ

↬1- Cos²θ=cos⁴θ. [ ∵ sin²θ = 1 - cos²θ ]

↬cos²θ+ cos⁴θ = 1.

hence proved...

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