Question

Without using tables,find the value of 2sin300

A 5
B 4
C 3
D 2

Answer 1

Answer on Question #51815, Math, Trigonometry

Question: Without using tables, find the value of 2sin300

A 5

B 4

C 3

D 2

Answer:

Since $\sin (2\pi - \alpha) = -\sin \alpha$, so

$$2 \sin 300 = 2 \sin (360 - 60) = -2 \sin 60 = -2 \cdot \frac{\sqrt{3}}{2} = -\sqrt{3}$$

The answers given in the question's stem are incorrect.

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