Find `sin``x/2``,cos``x/2` and `tan``x/2`of the following : `sin x =1/4,`x in quadrant II.

Explanation

To find \( \sin \frac{x}{2} \), \( \cos \frac{x}{2} \), and \( \tan \frac{x}{2} \) given that \( \sin x = \frac{1}{4} \) and \( x \) is in the second quadrant, we can follow these steps:

### Step 1: Find \( \cos x \)
Using the Pythagorean identity:
\[ \cos^2 x + \sin^2 x = 1 \]
Substituting \( \sin x = \frac{1}{4} \):
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