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nishant kumar agarwal Grade: Upto college level
        

if a cos 2Φ + b sin 2Φ =c has p & q as its solutions, then prove that


tan p + tan q =2b/a+c      & tan p * tan q = c-a/a+c.

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear nishant


a cos 2Φ + b sin 2Φ =c


a(1-tan2Φ)/(1+tan2Φ)   +  b (2tanΦ)/(1+tan2Φ) =c


 tan2Φ(a+c)  +tanΦ(-2b) +(c-a)=0


now tan p  and tanq  are the solution of this equation


tanp + tanq = 2b/(a+c)


tanp*tanq = (c-a)/(c+a)


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Badiuddin

7 years ago
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