What are the values of m and theta in the diagram below?

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)
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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