How do we determine when there is one or two cases for the law of sines

The video tutorial discusses the concept of having two solutions in trigonometry, focusing on the sine and cosine functions. It explains how to find angles where sine or cosine equals a specific value, using the unit circle and inverse functions. The tutorial highlights the importance of considering both acute and obtuse angles when solving trigonometric equations, especially when using inverse sine. It also covers how to calculate these angles and the implications of having two possible solutions.

What is the angle between 0 and π/2 where cosine equals 1/2?

When is sine of Theta equal to 1/2? List the angles.

Explain why there are two possible angles when taking the inverse sine of 1/2.

How do you find the obtuse angle when given an acute angle using inverse sine?

What is the relationship between acute and obtuse angles in the context of inverse sine?