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➫ 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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