Math, asked by apsanag3, 4 months ago

cosA - sin A / cos A + sin A = sec2A - Tan2A

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Answered by Anonymous

0

Answer:

Step-by-step explanation:

cosA - sin A / cos A + sin A = sec2A - Tan2A

LHS = (cosA - sin A)( cos A - sin A) / ( cos A + sin A)( cos A - sin A)

(cos²A+sin²A-2sinAcosA) / ((cos²A - sin² A)

=(1-sin2A)/cos2A

=1/cos2A-sin2A/cos2A

=sec2A - tan2A=RHS

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