Anonymous
Apr 1
How to solve sin x =1/2 where the angles are acute?
1 view
1 view
1 answer
Sort By
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. 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
