What will be the value of sin10° - $$\frac{4}{3}$$sin310°?
A. $$\frac{1}{{3\sqrt 3 }}$$
B. $$\frac{1}{6}$$
C. $$\frac{1}{{2\sqrt 3 }}$$
D. $$\frac{{\sqrt 3 }}{6}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \sin 10 - \frac{4}{3}{\sin ^3}10 \cr & = \frac{{3\sin 10 - 4{{\sin }^3}10}}{3} \cr & = \frac{1}{3}\sin 3 \times {10^ \circ }\,\,\,\,\,\left[ {\because \sin A = 3\sin A - 4{{\sin }^3}A} \right] \cr & = \frac{1}{3} \times \frac{1}{2} \cr & = \frac{1}{6} \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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