Question

Soluttion of if coseca +cota =p the prove that p²-1/p²+1= cosa

Answer 1

Answer:

cosecA+cotA=p                           (squaring on both side)

(cosecA+cotA)^2=p^2

(1/sinA+cosA/sinA)^2=p^2

(1+cosA/sinA)^2=p^2

(1+cosA)(1+cosA) / (1-cos^2A)=p^2             (a^2-b^2= (a+b)(a-b)

(1+cosA)(1+cosA)/ (1+cosA)(1-cosA) =p^2    here, 1+cosA cut by (1+cosA)

1+cosA/1-cosA=p^2

1+cosA= P^2(1-cosA)

1+cosA=P^2-p^2cosA

cosA+p^2cosA=P^2-1                                    cos is common

cosA(1+P^2)=P^2-1

cosA=P^2-1/P^2+1

Step-by-step explanation: