A) \[{{30}^{o}},{{90}^{o}},{{150}^{o}}\]
B) \[{{60}^{o}},{{120}^{o}},{{180}^{o}}\]
C) \[{{0}^{o}},{{30}^{o}},{{150}^{o}}\]
D) \[{{45}^{o}},{{90}^{o}},{{135}^{o}}\]
Correct Answer: A
Solution :
\[2-2{{\sin }^{2}}x+3\sin x-3=0\] \[\Rightarrow \]\[(2\sin x-1)\,(\sin x-1)=0\]\[\Rightarrow \] \[\sin x=\frac{1}{2}\] or\[\sin x=1\] \[\Rightarrow \] \[x=\frac{\pi }{6},\,\frac{5\pi }{6}\], \[\frac{\pi }{2}\] i.e., \[30{}^\circ ,\text{ 150}{}^\circ \text{, 90}{}^\circ \].
You need to login to perform this action.
You will be redirected in
3 sec
