Question:
The value of \(\cos 15^\circ + \sin 15^\circ\) is:
The value of \(\cos 15^\circ + \sin 15^\circ\) is:
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Use angle sum identities for special angles.
Updated On: Jan 5, 2026
- \(\sqrt{2}\)
- \(\sqrt{3}\)
- \(\frac{\sqrt{6}+\sqrt{2}}{2}\)
- \(\frac{\sqrt{6}-\sqrt{2}}{2}\)
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The Correct Option is C
Solution and Explanation
\[
\cos15^\circ=\frac{\sqrt6+\sqrt2}{4},\quad
\sin15^\circ=\frac{\sqrt6-\sqrt2}{4}
\]
\[
\cos15^\circ+\sin15^\circ=\frac{\sqrt6}{2}
\]
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