Question 43

Mathematics Trigonometric Equations Hard

The value of sin 10° sin 50° sin 70° is:

(A) <span class="math-tex">\(\dfrac14\)</span>
(B) <span class="math-tex">\(\dfrac12\)</span>
(C) <span class="math-tex">\(\dfrac34\)</span>
(D) <span class="math-tex">\(\dfrac18\)</span>
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

The value of \( \sin 10^\circ \sin 50^\circ \sin 70^\circ \): \[ = \frac{\sin(3 \times 10^\circ)}{4} = \frac{1}{8} \] (using \( \sin \theta \sin (60^\circ - \theta) \sin (60^\circ + \theta) = \frac{\sin 3\theta}{4} \))