Question

Find x if $sin x=\frac{1}{2}$

• A. $$\frac{11\pi}{6}$$
• B. $$\frac{17\pi}{6}$$
• C. $$\frac{\pi}{6}$$
• D. $$\frac{5\pi}{6}$$

Answer 1

Answer:

$$\frac{11\pi}{6}$$

Given

Sin x = - 1/2

Concept used If Sin x is negative then sin lies in 3rd quadrant or 4th quadrant, according to the following details:

Calculation

Sin x = - sin (1/2)

⇒ Sin x = - sin (π/6)

⇒ Sin x = sin (2π - π/6)

⇒ Sin x = sin (12π - π)/6

⇒ Sin x = sin (11π/6)

∴ x is 11π/6

Important Points

It is important for a candidate to remember the basic relation of conversion from degree to radian:

180° = π radians