Question

$if \sec \alpha + \tan \alpha = p \: then \: the \: vaue \: of \: \sin \alpha is$

Answer 1

I HOPE THAT THIS HELPS YOU.

Answer 2

Sec²@ - tan²@ =1
Sec@ + tan@ =p
So, sec@ - tan@ =1/p
Adding both we get,
2sec@ = p+1/p
or, sec@ = ½(p+1/p)
or, cos@ =2 p/(1+p²)
Sin@ = root ( 1- (2p/(1+p²))²)
____= 1/(1+p²)root(1+2p²+p⁴ - 4p⁴)
____= 1/(1+p²)root((p²-1)²)
Sin@ =(p²-1)/(1+p²)

Hope this is ur required answer.