If cosecθ + cotθ = 2, then sinθ is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 4/5
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Understanding |
Application |
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cosec2 θ - cot2θ= 1 (cosec θ + cot θ )(cosec θ - cot θ )= 1 cosec θ – cot θ = 1/(cosec θ+ cot θ) cosec θ= 1/sin θ |
cosec θ+ cot θ=2 cosec θ- cot θ= 1/2 Adding both equations, 2cosec θ = 2 + 1/2 2cosec θ = 5/2 cosec θ = 5/4 1/sin θ =5/4 sin θ=4/5 |