Question

prove that cos A/1+tan A - sin A /1+cot A = cos A - sin A
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Answer 1

Step-by-step explanation:

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Answer 2

Answer :

L.H.S=cos A/1–tan A +sin A/1–cot A

=cos A/1- sin A (cos A + sin A/1 -cos A/sin A

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

=cos² A / cos A -sin A +sin² A / sin A - cos A

=cos² A =sin²A /( cos A -sin A )

=( cos A +sin A) (cos A -sin A) ( cos A - sin A)

=cos A +sin A

= R. H. S

hence proved