Question

If 5 tan 0 =4 then
(5 sin 0- 3 cos 0) ÷ (5 sin 0 + 2 cos 0)​

Answer 1

Answer:

5 tan Ø = 4

=》 $\tt{5 \frac{\sin 0}{\cos 0} = 4}$

=》 5 sin Ø = 4 cos Ø

Now :

$\tt{\frac{5 sin 0 - 3 cos 0}{5 sin 0 + 2 cos 0}}$

=》 $\tt{\frac{4 cos 0 - 3 cos 0}{4 cos 0+ 2 cos 0}}$

=》 $\tt{\frac{cos 0}{6cos 0}}$

=》 $\tt{\frac{1}{6}}$

Answer 2

ANSWER

5 tan theta=4.So tan theta =4/5 therefore, sin theta/cos theta=4/5.Hence we can say that, sin theta=4x , cos theta=5x.