Question

solve (2sinᶱ-1= 3/sinᶱ) using u-substitution

Answer 1

u = sinx. Then we obtain:
\[2u - 1 = \frac {3}{u}\]
With \[u \neq 0\], we can multiplied both sides by u
\[2u^2 - u - 3 = 0 (u \neq 0)\]
Solve it and you have \[u_1 = -1 ; u_2 = \frac{3}{2}\]
Substitute into sinx, you can calculate x by yourself.