Question

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

Answer 1

Answer:

Step-by-step explanation:

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cosec A+cot A=p

1/sinA  + cosA/sinA = p

1+cosA = psinA

Squaring both the sides

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

(1+cosA)^2 = p^2 (1-(cos)^2)

(1+cosA)^2 = p^2 (1-(cos)) (1+cosA)

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

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

Hence proved