Find the radian measures corresponding to the following degree measures:

$25^{\circ}$

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We know that $180^{\circ}=\pi$ radian

$\therefore 25^{\circ}=\frac{\pi}{180} \times 25$ radian $=\frac{5 \pi}{36}$ radian

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Find the values of other five trigonometric functions if $\sin x=\frac{3}{5}, x$ lies in second quadrant.

If $\frac{\sin ^4 x}{2}+\frac{\cos ^4 x}{3}=\frac{1}{5},$ then

$(A)$ $\tan ^2 x=\frac{2}{3}$ $(B)$ $\frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{1}{125}$

$(C)$ $\tan ^2 x=\frac{1}{3}$ $(D)$ $\frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{2}{125}$

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