If cosec A+cot A=p,prove that cos A=p2-1/p2+1

Asked by Aditya Chakravarty | 22nd May, 2013, 12:28: PM

Expert Answer:

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

Answered by  | 23rd May, 2013, 03:01: AM

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