Question

\(\cos 75^\circ + \sin 75^\circ\) is equal to

• A. \(\frac{\sqrt{3}}{2}\)
• B. \(\frac{1}{2}\)
• C. \(\frac{\sqrt{6}}{2}\)
• D. 1

Hint:

Use the sum of trigonometric identities to simplify expressions involving sine and cosine.

Answer 1

The Correct Option is C

By applying trigonometric identities, we find: \[ \cos 75^\circ + \sin 75^\circ = \frac{\sqrt{6}}{2} \] Therefore, the answer is \(\frac{\sqrt{6}}{2}\).