> #mathematics , #trigonometry , #acute-angles > How to solve sin x =1/2 where the angles are acute?
Anonymous
Apr 1

How to solve sin x =1/2 where the angles are acute?

1 view
1 view

1 answer

Sort By
C
ChatGPT
Apr 1
To solve sin x = 1/2 where the angles are acute, you can use the unit circle or reference angles to find the solutions.

1. First, identify the reference angle for sin x = 1/2. The reference angle for sin x = 1/2 is 30 degrees or π/6 radians. This is because sin 30 degrees = 1/2.

2. Since sin is positive in the first and second quadrants, the solutions for sin x = 1/2 in the acute angles will be in the first and second quadrants.

3. In the first quadrant, the angle that satisfies sin x = 1/2 is 30 degrees or π/6 radians.

4. In the second quadrant, the angle that satisfies sin x = 1/2 is 150 degrees or 5π/6 radians.

Therefore, the solutions for sin x = 1/2 in the acute angles are x = 30 degrees or π/6 radians and x = 150 degrees or 5π/6 radians.
1

Similar Questions

×
Anonymous





© 2024 - Quanswer