Math, asked by mayuripatil2901, 7 months ago

sin ^2 A (tan A + cot A)= 2​

Answers

Answered by suhasinipandraju
1

hi friend,

sin²A(tan A +cot A)

=sin²A (tan A+ 1/tan A)

=sin²A(tan²A+1)/tan A

=sin²A .cosA/sin A(tan²A+1)

=sin A .cos A(sin²A/cos²A +1)

=sin A. cos A (sin²A+cos²A)/cos²A

=sin A. cos A(1)/cos²A

=sin A/cos A

=tan A

given  tan A=2

             A=Tan⁻¹(2)

hope it helps you

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