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Question

Prove the following trigonometric identities.

If cosec θ − sin θ = a3, sec θ − cos θ = b3, prove that a2 b2 (a2 + b2) = 1

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Solution

Given that,



We have to prove

We know that

Now from the first equation, we have



Again from the second equation, we have

Therefore, we have


Hence proved.


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