a. To find the measure of the angle when sin θ = 0.8933, you need to use the inverse sine function (also known as arcsin or sin^-1).

θ = sin^-1(0.8933)

Using a scientific calculator, input sin^-1(0.8933) to get the measure of the angle. The result is approximately 64 degrees.

b. Similarly, to find the measure of the angle when sin θ = 0.5032, use the inverse sine function.

θ = sin^-1(0.5032)

Using a scientific calculator, input sin^-1(0.5032) to get the measure of the angle. The result is approximately 30 degrees.

Remember, these results are rounded to the nearest degree.

Question

a. To find the measure of the angle when sin θ = 0.8933, you need to use the inverse sine function (also known as arcsin or sin^-1).

θ = sin^-1(0.8933)

Using a scientific calculator, input sin^-1(0.8933) to get the measure of the angle. The result is approximately 64 degrees.

b. Similarly, to find the measure of the angle when sin θ = 0.5032, use the inverse sine function.

θ = sin^-1(0.5032)

Using a scientific calculator, input sin^-1(0.5032) to get the measure of the angle. The result is approximately 30 degrees.

Remember, these results are rounded to the nearest degree.

Knowee AI · Accepted Answer

a. To find the measure of the angle when sin θ = 0.8933, you need to use the inverse sine function (also known as arcsin or sin^-1).

θ = sin^-1(0.8933)

Using a scientific calculator, input sin^-1(0.8933) to get the measure of the angle. The result is approximately 64 degrees.

b. Similarly, to find the measure of the angle when sin θ = 0.5032, use the inverse sine function.

θ = sin^-1(0.5032)

Using a scientific calculator, input sin^-1(0.5032) to get the measure of the angle. The result is approximately 30 degrees.

Remember, these results are rounded to the nearest degree.

Find the measure of each angle, to the nearest degree. Show complete working for each answer. a. sin θ = 0.8933b. sin θ = 0.5032