if 3 sin theta- 4 cos theta=0, evaluate: cos theta+ sin theta / cos theta- sin theta

Asked by  | 22nd Jul, 2012, 10:04: PM

Expert Answer:

cos theta+ sin theta / cos theta- sin theta
Divide the numerator and denominator by cos theta to get,
1+ tan theta / 1 - tan theta               ... (1)
 
From the given relation,
3 sin theta = 4 cos theta
tan theta = 4/ 3
Put this value in (1) to get the required answer.

Answered by  | 22nd Jul, 2012, 10:16: PM

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