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| 1. |
Show that (cosec 0 - cot 0)2 =1-cos/1+cos e |
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Answer» We have, (cosecθ−cotθ)
=( sinθ 1
− sinθ cos θ
) 2
=( sinθ 1−cosθ
) 2
= 2 θ (1−cosθ) 2
= 1−cos 2 θ (1−cosθ) 2
[∵sin 2 θ=1−cos 2 θ] = (1−cosθ)(1+cosθ) (1−cosθ) 2
= 1+cosθ 1−cosθ
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