Question

The value of cos 60° − sin 90° + 2 cos 0° is ______.

Options

• `1/2`

• `- 1/2`

• `-1 1/2`

• `1 1/2`

Answer 1

The value of cos 60° − sin 90° + 2 cos 0° is `bbunderline(1 1/2)`.

Explanation:

Substituting the exact trigonometric values:

cos 60° = `1/2`, sin 90° = 1, cos 0° = 1

\[\frac{1}{2} - 1 + 2(1) = \frac{1}{2} - 1 + 2 = 1.5 = 1\frac{1}{2}\]