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Answer:

The correct answer is m = sqrt3/2 and theta = pi/3

Step-by-step explanation:

refer to the Unit Circle. Notice that the coordinates are (cos Θ, sin Θ).  

When does sin Θ = 1/2? --------> when cos theta sqrt3/2

This occurs at 60°  (π/3).

The value of m is √3/2 and the angle θ is 30° or π/6 if the radius of the circle r is 1 units and point become (√3/2, 1/2)

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a diagram showing a circle in which r = 1 units

And if we draw a vertical line from point (m, 1/2) downward until it touches the x-axis.

The length of the vertical side = 1/2

Sinθ = (1/2)/(1)

θ = 30° = π/6

Cosθ = m/1

Cos30° = m

m = √3/2

Thus, the value of m is √3/2 and the angle θ is 30° or π/6 if the radius of the circle r is 1 units and point become (√3/2, 1/2)

Learn more about trigonometry here:

brainly.com/question/26719838

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