if √3sin ∅=cos∅ find the value of 3 cos²∅+2cos∅/3cos∅+2 in terms of sin ∅only
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Answer:
Given 3sinθ=cosθ
cosθsinθ=31
tanθ=31
θ=30∘
sinθ+cosθsinθtanθ(1+cosθ)=sin30ocos30osin30otan30o(1+cos30o)
=21+2321×31(1+23)
=23
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