Question

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

Answer 1

heya...☺.
it's too easy yrr.

cosec¢+cot¢=p .........1)

1/p=cosec¢-cot¢{ by rationalizing proces}......2)

now, adding both equation 1 ) and 2)
we get,...

2cosec¢=p^2+1/p......3)

and again ....subtracting 1)to 2) we get.

2cot¢=p^2-1/p........4)

divide equation 4) by 3) equation

we get,..

cos¢=p^2-1/p^2+1

hope it help you.....

@rajukumar☺