Question:

The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to

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Use trigonometric identities to simplify expressions involving cosine and sine differences.
Updated On: Apr 25, 2025
  • \(\frac{1}{\sqrt{2}}\)
  • \(\frac{\sqrt{3}}{2}\)
  • \(\frac{1}{3}\)
  • \(\frac{1}{2}\)
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The Correct Option is A

Solution and Explanation

Using the formula for the difference of cosines and sines, we can simplify this expression and find that the result is \(\frac{1}{\sqrt{2}}\).
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