Question

The value of \(\frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ}\) is

• A. 2
• B. -2
• C. 1
• D. -1

Answer 1

The Correct Option is C

To solve the problem, we need to evaluate the expression:
\[ \frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ} \]

1. Use Standard Trigonometric Values:
\[ \cot 45^\circ = 1, \quad \sin 30^\circ = \frac{1}{2}, \quad \cos 60^\circ = \frac{1}{2} \]

2. Substitute Values into the Expression:
\[ \frac{1}{\frac{1}{2} + \frac{1}{2}} = \frac{1}{1} = 1 \]

Final Answer:
The value of the expression is \({1} \).