Math, asked by parassaini7676, 7 months ago

Prove : 1-cos x/sin x = sin x/1+cos x

Answers

Answered by adithyavaranasi68
0

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Answered by nandiprithagm
0

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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