If x sin^{2} 60^{circ} - frac{3}{2} sec 60^{c | vedclass

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Question

(A) We know that $\sin 60^{\circ} = \frac{\sqrt{3}}{2}$,$\sin 45^{\circ} = \frac{1}{\sqrt{2}}$,$	an 30^{\circ} = \frac{1}{\sqrt{3}}$,$\sec 60^{\circ}

Vedclass · Accepted Answer

$-\frac{4}{15}$

Vedclass · Answer

(A) We know that $\sin 60^{\circ} = \frac{\sqrt{3}}{2}$,$\sin 45^{\circ} = \frac{1}{\sqrt{2}}$,$	an 30^{\circ} = \frac{1}{\sqrt{3}}$,$\sec 60^{\circ} = 2$,and $	an 60^{\circ} = \sqrt{3}$.Substituting these values into the given equation:$x \left( \frac{\sqrt{3}}{2} ight)^{2} - \frac{3}{2} 	imes 2 	imes \left( \frac{1}{\sqrt{3}} ight)^{2} + \frac{4}{5} 	imes \left( \frac{1}{\sqrt{2}} ight)^{2} 	imes (\sqrt{3})^{2} = 0$$x \left( \frac{3}{4} ight) - 3 	imes \left( \frac{1}{3} ight) + \frac{4}{5} 	imes \left( \frac{1}{2} ight) 	imes 3 = 0$$\frac{3x}{4} - 1 + \frac{6}{5} = 0$$\frac{3x}{4} = 1 - \frac{6}{5}$$\frac{3x}{4} = -\frac{1}{5}$$x = -\frac{1}{5} 	imes \frac{4}{3} = -\frac{4}{15}$.

If $x \sin^{2} 60^{\circ} - \frac{3}{2} \sec 60^{\circ} \tan^{2} 30^{\circ} + \frac{4}{5} \sin^{2} 45^{\circ} \tan^{2} 60^{\circ} = 0$,then $x$ is

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