Question

if sec theta + tan theta is equal to P then find sin theta + cos theta in terms of p

Answer 1

secA + tanA = p  ...(i)

we know that sec2A - tan2A = 1

therefore (secA - tanA)(secA + tanA) = 1

so secA - tanA = 1/p  ....(ii)

adding (i) and (ii) we get

secA = p2+1/2p

similarly we find tanA  and sinA