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Question

sin(90θ)sinθtanθ+cos(90θ)cosθcotθ=

A
tanθ
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B
1
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C
-1
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D
sinθ
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Solution

The correct option is B 1
We have,
sin(90θ)sinθtanθ+cos(90θ)cosθcotθ

cosθsinθsinθcosθ+sinθcosθcosθsinθ

cos2θsinθsinθ+sin2θcosθcosθ

cos2θ+sin2θ

1

Hence, this is the answer.

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