Question 119

For $$\alpha$$ and $$\beta$$ with $$0 \leq \alpha, \beta < \frac{\pi}{2}$$ if $$\cos \alpha = \sin \beta = \frac{1}{2}$$ then $$\alpha + 2\beta = $$

Solution

From the given relations, it becomes clear that $$\alpha\ =\frac{\pi}{3},\ \beta\ =\frac{\pi}{6}\ \ $$

Hence, the given relation results in option D


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