On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). What is theta if 0° <_theta< 360°?

A. 30°

B. 15°

C. 60°

D. 45°

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Respuesta :

Answer:

30degrees

Step-by-step explanation:

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). What is theta if 0° <_theta< 360°?

From the coordinate given;

x = √3/2

y = 1/2

theta = arctan(y/x)

theta = arctan(1/2÷√3/2)

theta = arctan(1/2 * 2/√3)

theta = arctan(1/√3)

theta = 30degrees

Hence the value of theta is 30degrees

On a unit circle, the terminal point of θ is (√3/2, 1/2). What is θ if 0° ≤ θ < 360°?

θ = 30°

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