### Home > CCA2 > Chapter 7 > Lesson 7.1.4 > Problem7-53

7-53.

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

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

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

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

There is more than one possible answer.