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