Math, asked by Neha2408, 7 months ago

If cosec theta + cot theta = p then prove that cos theta = p²-1/p²+1.​

Answers

Answered by gayathreedeviaj
5

Step-by-step explanation:

cosec theta + cot theta = P (given)

we know, cosec² theta - cot² theta = 1

(cosec theta + cot theta)( cosec theta - cot theta)= 1

(cosec theta - cot theta) × P = 1

( cosec theta - cot theta) = 1/P

Let's solve (i ) and (ii)

cosec theta = 1+ P²/2P cot theta = P²-1/2P cot theta / cosec theta= P²-1/2P×2P/P2²+1 cos theta = P²-1/P²+1

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