Math, asked by sweety191, 1 year ago

prove that: (cosec A+sinA)(cosecA-sin A)=cot2A+cos2A

Answers

Answered by sanjanamailagani1

12

LHS-

(cosecA+sinA)(cosecA-sinA)

=cosec2A-sin2A

=(1+cot2A)-(1-cos2A) BECAUSE cosec2A=1+cot2A and sin2A=1-cos2A

=1+cot2A-1+cos2A

=cot2A+cosec2A

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