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Question

Solve for θ if 4cos2θ + 2sinθ – 4 = 0, where 0 θ 90.

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Solution

4cos2θ+2sinθ4=04(1sin2θ)+2sinθ=044sin2θ+2sinθ4=02sinθ(12sinθ)=0


sinθ=0 or sinθ=12
So,
θ=0 or θ=30


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