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What will be the value of sin10° - $$\frac{4}{3}$$sin310°?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \sin 10 - \frac{4}{3}{\sin ^3}10 \cr
& = \frac{{3\sin 10 - 4{{\sin }^3}10}}{3} \cr
& = \frac{1}{3}\sin 3 \times {10^ \circ }\,\,\,\,\,\left[ {\because \sin A = 3\sin A - 4{{\sin }^3}A} \right] \cr
& = \frac{1}{3} \times \frac{1}{2} \cr
& = \frac{1}{6} \cr} $$
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