Asked by Bobbie
How do i get left side to equal right side?
(Cos x)/(1+sin x) + (cos x)/(1-sin x) = 2secx
(Cos x)/(1+sin x) + (cos x)/(1-sin x) = 2secx
Answers
Answered by
Reiny
LS = cosx/(1+sinx) + cosx/(1-sinx)
= ( cosx(1 - sinx) + cosx(1+sinx) )/(1 - sin^2 x)
= (cosx - sinxcosx + cosx + sinxcosx)/cos^2 x
= 2cosx/cos^2 x
= 2/cosx
= 2secx
= RS
= ( cosx(1 - sinx) + cosx(1+sinx) )/(1 - sin^2 x)
= (cosx - sinxcosx + cosx + sinxcosx)/cos^2 x
= 2cosx/cos^2 x
= 2/cosx
= 2secx
= RS
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