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