Prove that : CosecA/CosecA-1+CosecA/CosecA+1 = 2+2tan²A
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heya
cosecA/cosecA-1+cosecA/cosecA+1
=)cosecA(cosecA-1)+cosec(cosecA+1)
-------------------------------------------------
,,,,,,,( cosecA-1)(cosecA+1)
=)cosec^2A-cosecA+cosec^2A+cosecA
-------------------------------------------------
,,,,,,,,,,,cosec^2A-1
=)2cosec^2A/cot^2A
=)2(1-cot^2A)/cot^2A
=)2tan^2A-2cot^2A/cot^2A
=)2tan^2A-2 RHS prooved .
hope it help you ☺
@rajukumar☺
cosecA/cosecA-1+cosecA/cosecA+1
=)cosecA(cosecA-1)+cosec(cosecA+1)
-------------------------------------------------
,,,,,,,( cosecA-1)(cosecA+1)
=)cosec^2A-cosecA+cosec^2A+cosecA
-------------------------------------------------
,,,,,,,,,,,cosec^2A-1
=)2cosec^2A/cot^2A
=)2(1-cot^2A)/cot^2A
=)2tan^2A-2cot^2A/cot^2A
=)2tan^2A-2 RHS prooved .
hope it help you ☺
@rajukumar☺
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