What is the value of the $y$-coordinate of point $A$ ?
Choose 1 answer:
(A) $\sin \left(0^{\circ}\right)$
(B) $\cos \left(0^{\circ}\right)$
(C) $\sin \left(90^{\circ}\right)$
() $\cos \left(90^{\circ}\right)$
() $\sin \left(270^{\circ}\right)$
( $) \cos \left(270^{\circ}\right)$

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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the coordinates of point A on the unit circle. ‖ ‖ step 2 ⋮ Point A is directly below the origin on the y-axis, which corresponds to the angle 270° or $ \frac{3\pi}{2} $ radians. ‖ ‖ step 3 ⋮ The y-coordinate of a point on the unit circle is given by the sine of the angle. ‖ ‖ step 4 ⋮ Calculate the sine of 270°: $ \sin(270^{\circ}) = -1 $. ‖ ‖ step 5 ⋮ The y-coordinate of point A is $ -1 $. ‖ ∻[question 1] Answer∻ ***E*** ∻Key Concept∻ ⚹Sine of an angle on the unit circle⚹ ∻Explanation∻ ⚹The y-coordinate of a point on the unit circle is equal to the sine of the angle formed by the point, the origin, and the positive x-axis.⚹◊What is the relationship between the y-coordinate of a point on a circle and trigonometric functions like sine and⍭ Generate me a similar question◊

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