If 2{cos ^2}x + 3sin x - 3 = 0,,,0 le x le {1 | vedclass

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Question

(a) $2 - 2{\sin ^2}x + 3\sin x - 3 = 0$

$ \Rightarrow $$(2\sin x - 1)\,(\sin x - 1) = 0$

$ \Rightarrow $ $\sin x = \frac{1}{2}$ or $\sin x = 1$

Vedclass · Accepted Answer

${30^o},{90^o},{150^o}$

Vedclass · Answer

(a) $2 - 2{\sin ^2}x + 3\sin x - 3 = 0$

$ \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 ,{\rm{ 150}}^\circ {\rm{, 90}}^\circ $.

If $2{\cos ^2}x + 3\sin x - 3 = 0,\,\,0 \le x \le {180^o}$, then $x =$

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