Math, asked by prajeshthegamer12, 5 months ago

{cos A + sin A/cos A-sin A} - {cos A - sin A/ cos A+sin A}

Answers

Answered by anurag2147
3

Answer:

(cos A + sin A/cos A-sin A} - {cos A - sin A/ cos A+sin A}

=(cosA+sinA)²+(cosA-sinA)²/cos²-sin²

=ços²A+sin²A+2sin cosA

+cos²A+sin²A-2sinAcosA/cos²A-sin²A

=2cos²+2sin²A/cos²A-sin²A=

=2(sin²A+cos²A)/cos²A-sin²A= 2/cos²A-sin²A

=2/1-sin²A-sin²A

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