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On a unit circle, 90=pi/2radians. Identify the terminal point and sin 0.A. Terminal point: (1, 0); sin 0 = 1B. Terminal point: (1, 0); sin 0 = 0C. Terminal point: (0, 1); sin 0 = 0D. Terminal point: (0,1); sin 0 = 1

On a unit circle, 90=pi/2radians. Identify the terminal point and sin 0.A. Terminal-example-1

1 Answer

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We can see that


\theta=(\pi)/(2)

then,


\sin \theta=\sin (\pi)/(2)=1

Since an angle in a unit circle start at the horizontal axis and grows counterclockwise:

hence, the terminal point is at (0,1)

The, the answer is the last option D.

On a unit circle, 90=pi/2radians. Identify the terminal point and sin 0.A. Terminal-example-1
On a unit circle, 90=pi/2radians. Identify the terminal point and sin 0.A. Terminal-example-2
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