Question

How do you know if sin 30 = sin 150?​

Answer 1

Step-by-step explanation:

The value of sin 30 degrees and sin 150 degrees are equal.

Sin 30 = sin 150 = ½

Both are equal because the reference angle for 150 is equal to 30 for the triangle formed in the unit circle. The reference angle is formed when the perpendicular is dropped from the unit circle to the x-axis, which forms a right triangle.

Since, the angle 150 degrees lies on the IInd quadrant, therefore the value of sin 150 is positive.

The internal angle of the triangle is 180 – 150=30, which is the reference angle.

The value of sine in the other two quadrants, i.e. 3rd and 4th are negative.

In the same way, Sin 0 = sin 180

Answer 2

The value of sin 30 degrees and sin 150 degrees are equal. Both are equal because the reference angle for 150 is equal to 30 for the triangle formed in the unit circle. The reference angle is formed when the perpendicular is dropped from the unit circle to the x-axis, which forms a right triangle.