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CBSE Class 10 Answered

Trigonometry question - (sinA + 1 - cosA)/(cosA - 1 + sinA) = (1+sinA)/cosA
Asked by ash.au94 | 23 Aug, 2009, 01:11: PM
answered-by-expert Expert Answer

Consider LHS (sinA + 1 - cosA)/(cosA - 1 + sinA) 

Dividing Num and denominator by cos A

we get (tan A +sec A-1)/(1-sec A + tan A)

Multiplying and dividing by tan A-Sec A

((tan 2 A-sec2 A)- (tan A-Sec A))/(tan A-sec A+1)(tan A-sec A)

= 1/(sec A - tan A) = cos A/(1-sin A)

= (1+sin A)/cos A

Answered by | 24 Aug, 2009, 11:16: AM

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