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Question
Prove the following trigonometric identities.
`cosec theta sqrt(1 - cos^2 theta) = 1`
Solution
We know that `sin^2 theta + cos^2 theta = 1`
So,
`cosec theta sqrt(1 - cos^2 theta) = cosec theta sqrt (sin^2 theta)`
`= cosec theta sin theta`
`1/ sin theta xx sin theta`
= 1
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