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Question

cotθ+cosecθsinθcotθcosecθsinθ=12

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Solution

cotθ++cosecθsinθcotθcosecθsinθ=12
cosθsinθ+1sinθsinθcosθsinθ1sinθsinθ=12
1+cosθsin2θcosθ1sin2θ=12
1+cosθcosθ+1sin2θ=12
sin2θ=2
sinθ=±2

1213171_1427059_ans_943605ed6737485582326112608d5317.jpg

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