if sin theta + COS theta =√3 find the value of tan theta + cot theta
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if the value of. Given: To Prove: Proof: Squaring of both sides, we get: Using the formula. Applying formula in.
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Step-by-step explanation:
sinθ+cosθ= 3
=(sinθ+cosθ) 2 =3
=sin 2 θ+cos 2
θ+2sinθcosθ=3
⇒2sinθcosθ=2
⇒sinθcosθ=1
⇒sinθcosθ=sin 2 θ+cos 2 θ
⇒1= sinθcosθsin 2 θ+cos 2 θ
⇒tanθ+cotθ=1
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