Question

if cosx=(p+1/p)/2 then prove cos2x=(p²+1/p²)/2

Answer 1

Answer:

We know that

cosec^2 - cot^2 = 1

(cosec - cot)×(cosec+cot) = 1

cosec - cot = (1/p)

cosec + cot = p

2cosec = p + 1/p

2cosec = (p^2 + 1)/p

cosec = (p^2 + 1)/2p

sin = 2p/(p^2 + 1)

sin^2 = 4p^2/((p^2 + 1)^2)

1 - sin^2 = cos^2 = ((p^2 - 1)^2)/((p^2 + 1)^2)

cos = (p^2 - 1)/(p^2 + 1)

Hence Proved

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Answer 2

Answer:

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