Question

tan x sin x - cos x = sin x. find the value of x

Answer 1

divide the whole equation over cos x

Answer 2

u would get tan^2(x) - tan(x) -1 = 0

Answer 3

at this and iam stuck

Answer 4

look
subtituite tanx=sinx/cosx

Answer 5

i didnt get much of that died end with me

Answer 6

wait

Answer 7

You can also do it this way
\[
\sin (x) \tan (x)-\cos
(x)=\sin (x)\\
\frac{\sin ^2(x)}{\cos
(x)}-\cos (x)=\sin (x)\\
\sin ^2(x)-\cos ^2(x)=\sin (x) \cos (x)\\
-\cos (2 x)=\frac{1}{2} \sin (2 x)\\
\frac{\sin (2 x)}{\cos (2 x)}=-2\\
\tan (2 x)=-2
\]

Answer 8

yea @eliassaab
that is right

Answer 9

great work @eliassaab