Math, asked by mundadachhaya4, 8 months ago

prove that - cos + cosec -1 /cot -cosec +1 =1+cos/sin​

Answers

Answered by richasingh1719
1

Answer

L.H.S.

= cos+cosec-1/cot-cosec+1

= cos+1/sin-sin/cos-1/sin+1.

{cosec=1/sin, 1/ cot=tan=sin/cos, & sin^2+cos^2=1}

= (sin cos^2 + cos - sin^2 - cos + sin^2 + cos^2)/sin cos

= {cos(sin+cos)}/sin cos

= 1+cos/sin

= R.H.S.

Hence , R.H.S.=L.H.S.

Hence proved!

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