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Vikas TU Grade: 12th Pass
        

If sec A + tan A = p, then the value of sin A is?

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

secA+tanA =p


1+sinA/cosA = p


1+sinA = pcosA


squaring both sides


1+ sin2A + 2sinA = p2cos2A           (cos2A = 1-sin2A)


sin2A(1+p2) + 2sinA + 1-p2  = 0


this is a quadratic eq and roots of eq are



sinA = [-b+(-)(b2-4ac)1/2]/2a


       =-1 ,  (p2-1/p2+1)


sinA = -1 cannot be the root of the eq because it doesnot satisfies the given eqpression so


the only root is


sinA = p2-1/p2+1

6 years ago
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