cotA+sinA/cotA-sinA=1-cosA+secA/1+cosA-secA
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Answered by
11
RHS
(1-cosA+secA)/(1+cosA- secA)
multiplying numerator and denominator by cosA,
(cosA- cos²A +1)/(cosA+ cos²A- 1)
∵1- cos²A = sin²A
∴(cosA- cos²A +1)/(cosA+ cos²A- 1)
=(cosA +sin²A)/(cosA - sin²A)
dividing numerator and denominator by sinA,
(cotA +sinA)/(cotA-sinA)
= LHS
(1-cosA+secA)/(1+cosA- secA)
multiplying numerator and denominator by cosA,
(cosA- cos²A +1)/(cosA+ cos²A- 1)
∵1- cos²A = sin²A
∴(cosA- cos²A +1)/(cosA+ cos²A- 1)
=(cosA +sin²A)/(cosA - sin²A)
dividing numerator and denominator by sinA,
(cotA +sinA)/(cotA-sinA)
= LHS
Answered by
4
RHS
(1-cosA+secA)/(1+cosA- secA)
multiplying numerator and denominator by cosA,
(cosA- cos²A +1)/(cosA+ cos²A- 1)
∵1- cos²A = sin²A
∴(cosA- cos²A +1)/(cosA+ cos²A- 1)
=(cosA +sin²A)/(cosA - sin²A)
dividing numerator and denominator by sinA,
(cotA +sinA)/(cotA-sinA)
= LHS
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