1. show that cos theata×[(1/1-sin theata)-(1/1+sin theata)] can be written in the form k tan theata and find the value of k.
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We have,
cosθ[1−sinθ1−1+sinθ1]=ktanθ
cosθ[1−sin2θ1+sinθ−1+sinθ]=ktanθ
cosθcos2θ2sinθ=ktanθ
2tanθ=ktanθ
k=2
Hence, this is the answer.
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