Question

(cot A-cosec A)^2=1-cos A/1+cos A
prove it​

Answer 1

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answer:

RHS:

=(cotA-cosecA)^2

=(cosA/sinA - 1/sinA)^2

=(cosA-1/sinA) ^2

LHS:

=1-cosA/1+cosA

by rationalizing the denominator;

=1-cosA/1+cosA X 1-cosA/1-cosA

= (1-cosA)^2 / 1-cos^2A

= (1-cosA / sinA) ^2

hence proved! LHS=RHS....