If A lies between 40º and 540º, and sinA = 0.5, what is the value of A/3 in degrees?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 170º.
Sin A = 0.5
⇒ Sin A =
⇒ Sin A =
⇒ Sin A = sin(180°- 30°)
⇒ sin A = sin 150°
[If sin A = 150, then = 50, is not possible in this case]
⇒ sin A = sin (360°+ 150°)
⇒ sin A = sin 510°
⇒ A = 510°
= = 170°