Questions: What is the value of the y-coordinate of point A? Choose 1 answer: (a) sin (π/4) (b) cos (π/4) (c) sin (3π/4) (d) cos (3π/4) (e) sin (7π/4) (f) cos (7π/4)

Transcript text: What is the value of the $y$-coordinate of point $A$ ? Choose 1 answer: (a) $\sin \left(\frac{\pi}{4}\right)$ (b) $\cos \left(\frac{\pi}{4}\right)$ (c) $\sin \left(\frac{3 \pi}{4}\right)$ (d) $\cos \left(\frac{3 \pi}{4}\right)$ (e) $\sin \left(\frac{7 \pi}{4}\right)$ (f) $\cos \left(\frac{7 \pi}{4}\right)$

Solution

Solution Steps

Step 1: Find the angle

The angle formed by point A is located in the fourth quadrant of the unit circle. This angle is $\frac{7\pi}{4}$.

Step 2: Determine the y-coordinate

The $y$-coordinate of a point on the unit circle is given by $\sin(\theta)$, where $\theta$ is the angle formed by the point. In our case $\theta = \frac{7\pi}{4}$, thus the y-coordinate is given by $\sin(\frac{7\pi}{4})$.

Final Answer: The final answer is $\boxed{sin(7\pi/4)}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!