Question

if sintheta+costheta=p and sectheta +cosectheta= q then prove that q(psquare-1)=2p

Answer 1

given that

sin theta + cos theta = p
sec theta + cosec theta = q

.............. answer in pic

Answer 2

Answer:

SinA + cosA=p

secA+cosecA=q..........(1)

To prove:q(p^2-1)=2p........ (2)

Step-by-step explanation:

Substitute(1)in(2)

(secA+cosecA)[(sinA+cosA)^2-1]

=(secA+cosecA)(sin2A+cos2A+2sinAcosA-1)

=(1/sinA+1/cosA)(2sinAcosA)

[(SinA+cosA)/sinAcosA](2sinAcosA)

=(sinA+cosA)*2=2p

Hence proved.

You have to just substitute the equation that's all.