Question

cos 6° sin 24° cos 72° =

• A. $\dfrac{-1}{8}$
• B. $\dfrac{-1}{4}$
• C. $\dfrac{1}{8}$
• D. $\dfrac{1}{4}$

Hint:

For such questions, use the approximate values of standard trigonometric functions to compute the product.

Answer 1

The Correct Option is C

Step 1: Use the given standard trigonometric values.
We are provided with the following values for standard trigonometric functions:
\( \cos 6^\circ \approx 0.9945 \), \( \sin 24^\circ \approx 0.4067 \), and \( \cos 72^\circ \approx 0.3090 \).
Step 2: Multiply the values.
Now, we multiply these values:
\[ \cos 6^\circ \times \sin 24^\circ \times \cos 72^\circ = 0.9945 \times 0.4067 \times 0.3090 \approx 0.1237 \] Conclusion:
Thus, the value of \( \cos 6^\circ \times \sin 24^\circ \times \cos 72^\circ \) is approximately \( 0.1237 \), or roughly \( \frac{1}{8} \).