wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How do you know if sin30°=sin150°?


Open in App
Solution

The_trigonometry_functions

Explanation with unit circle:

All trigonometric angles are determined with respect to the given unit circle.

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 sin150° 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.

Hence, it can be said that sin30°=sin150°.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon