Prove : 1-cos x/sin x = sin x/1+cos x
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Answer:
1-cosx/sinx=(1/sinx)-(cosx/sinx), where 1-cosx =numerator, sinx=denominator.
so we mutiply both numerator and denominator by
(1+cosx).
so,
Step-by-step explanation:
(1-cosx)×(1+cosx)=1-cos^2 x=sin^2 x(from trigonometric identities)=new numerator.
and sinx(1+cosx) is the new denominator.
so, by division , sinx can be removed from both numerator and denominator.
So, (sin^2 x)/(sinx +sinx cosx)=(sin x)/(1+cosx)....[proved]
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