If-F-sin-A-a-W-sin-A-prove-that-tan-A-W-sin-a-W-cos-a-F-

Question Number 20648 by Joel577 last updated on 30/Aug/17

If \frac{F}{\sin (A - a)} = \frac{W}{\sin A}, prove that

\tan A = \frac{W \sin a}{W \cos a - F}

Answered by $@ty@m last updated on 30/Aug/17

G i v e n,

\frac{F}{\sin (A - a)} = \frac{W}{\sin A}

\Rightarrow F s i n A = W s i n (A - a)

\Rightarrow F s i n A = W s i n A c o s a - W c o s A s i n a

\Rightarrow F t a n A = W t a n A c o s a - W s i n A

(d i v i d i n g t h e e q n . b y c o s A)

\Rightarrow W s i n A = t a n A (W c o s a - F)

Commented by Joel577 last updated on 31/Aug/17

t h a n k y o u v e r y m u c h

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