Question

The value of \(\cos 15^\circ + \sin 15^\circ\) is:

• A. \(\sqrt{2}\)
• B. \(\sqrt{3}\)
• C. \(\frac{\sqrt{6}+\sqrt{2}}{2}\)
• D. \(\frac{\sqrt{6}-\sqrt{2}}{2}\)

Hint:

Use angle sum identities for special angles.

Answer 1

The Correct Option is C

\[ \cos15^\circ=\frac{\sqrt6+\sqrt2}{4},\quad \sin15^\circ=\frac{\sqrt6-\sqrt2}{4} \] \[ \cos15^\circ+\sin15^\circ=\frac{\sqrt6}{2} \]