standard_description: Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
problem_activity: Problem 1
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. This is called a “unit circle.” Find the coordinates of the point marked at
$${45^{\circ}}$$
.
Problem 2
[IMG]
The radius of the circle above is
$$1$$
, and it is centered at the origin. Find the coordinates of the point marked at
$$150^{\circ}$$
.


aligns: no