CPM Homework Help : CCA2 Problem 7-53

Use the Pythagorean Identity to find the exact coordinates of a point on the unit circle that has $\sin θ =\frac { 1 } { 4 }$ .

Hint:

The Pythagorean Identity states that $\sin^{2} θ + \cos^{2} θ = 1$ .

Step 1:

$\Big(\frac{1}{4}\Big)^2 + \cos^2(\theta) = 1$

Partial Answer:

$\left(?, \frac{1}{4}\right)$

There is more than one possible answer.