Question

The value of `(cos 60° - cos 0° + 2sin 90°)/(cot 60° xx cot 30°)` is ______.

विकल्प

• `1 1/2`

• `2/3`

• −2

• 1

Answer 1

The value of `(cos 60° - cos 0° + 2sin 90°)/(cot 60° xx cot 30°)  "is"  bbunderline(1 1/2)`.

Explanation:

• Evaluating the numerator: \[\cos 60^\circ - \cos 0^\circ + 2\sin 90^\circ = \frac{1}{2} - 1 + 2(1) = \frac{3}{2}\].
• Evaluating the denominator: \[\cot 60^\circ \times \cot 30^\circ = \frac{1}{\sqrt{3}} \times \sqrt{3} = 1\].
• Dividing the numerator by the denominator gives \[\frac{3}{2} \div 1 = 1\frac{1}{2}\].