Question

Find all solutions to the equation. sin x = square root of three divided by two.

Answer 1

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

1. $sin x = \frac{ \sqrt{3} }{2 \\ ?}$
2. $ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360$
3. k€z

Answer 2

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two