Math, asked by renuka206, 10 months ago

Sin theta upon 1 minus cos theta equal to 1 + cos theta upon sin theta proof

Answers

Answered by DarkFrost
5

Acc. to me,

suppose it is theta---Ф

sinФ/1-cosФ=1+cosФ/sinФ

just rationalise on LHS by (1+cosФ)

LHS is

=sinФ(1+cosФ)/(1-cosФ)(1+cosФ)

=sinФ(1+cosФ)/1²-cos²Ф------[becz(a+b)(a-b)=a²-b²

and 1-cos²Ф=sin²Ф]

=sinФ(1+cosФ)/sin²Ф

[sinФ cut one sinФ from denominator and]

=1+cosФ/sinФ---that is RHS

I Hope it help

any problem ask

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