if sin +cos root 3 then prove that ran theta + cot thetaa =1
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Step-by-step explanation:
sinθ+cosθ=3
=(sinθ+cosθ)2=3
=sin2θ+cos2θ+2sinθcosθ=3
⇒2sinθcosθ=2
⇒sinθcosθ=1
⇒sinθcosθ=sin2θ+cos2θ
⇒1=sinθcosθsin2θ+cos2θ
⇒tanθ+cotθ=1
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