Question

Math

Posted 3 months ago

```
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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Answer from Sia

Posted 3 months ago

Solution by Steps

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.

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