Question

Find the values of: \[ \cos 75^\circ, \cos 15^\circ, \cos 45^\circ \]

• A. \( \cos 75^\circ = 0.2588, \cos 15^\circ = 0.9659, \cos 45^\circ = 0.7071 \)
• B. \( \cos 75^\circ = 0.5736, \cos 15^\circ = 0.8660, \cos 45^\circ = 0.7071 \)
• C. \( \cos 75^\circ = 0.7071, \cos 15^\circ = 0.9659, \cos 45^\circ = 0.2588 \)
• D. \( \cos 75^\circ = 0.5000, \cos 15^\circ = 0.9342, \cos 45^\circ = 0.7071 \)

Hint:

For angles that are not multiples of 30 or 45 degrees, use a calculator or known trigonometric identities to find the cosine values.

Answer 1

The Correct Option is A

We can use a calculator or known values for the cosine of common angles to find: - \( \cos 75^\circ = 0.2588 \) - \( \cos 15^\circ = 0.9659 \) - \( \cos 45^\circ = 0.7071 \) These values are standard results from trigonometry.