Question

If $\theta = 30^\circ$, then the value of \[ \frac{\sin^2\theta - \cos 2\theta}{\sin 2\theta + \cos^2\theta} \] is:

• A. $\frac{3 - 2\sqrt{3}}{9}$
• B. $\frac{3 - 2\sqrt{3}}{3}$
• C. $\sqrt{3} + \frac{2\sqrt{3}}{5}$
• D. $\frac{3}{5}$

Hint:

Memorize standard values for $30^\circ$, $45^\circ$, $60^\circ$ to solve quickly.

Answer 1

The Correct Option is B