Question:medium
The value of \(\sin(x + \frac{7\pi}{4}) + \sin(x - \frac{7\pi}{4})\) is equal to
The value of \(\sin(x + \frac{7\pi}{4}) + \sin(x - \frac{7\pi}{4})\) is equal to
Show Hint
Always double check the quadrant of the constant angle. \(\frac{7\pi}{4}\) is in the 4th quadrant where cosine is positive.
Updated On: Jun 24, 2026
- \(\sqrt{2} \sin x\)
- \(-\sqrt{2} \cos x\)
- \(-\sqrt{2} \sin x\)
- \(\sqrt{2} \cos x\)
- \(-2 \cos x\)
Show Solution
The Correct Option is C
Solution and Explanation
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