F-TF.C. Prove and apply trigonometric identities.

• Coordinates of Points on a Circle

F-TF.C.8. Prove the Pythagorean identity $\sin^2(\theta) + \cos^2(\theta) = 1$ and use it to find $\sin(\theta)$, $\cos(\theta)$, or $\tan(\theta)$ given $\sin(\theta)$, $\cos(\theta)$, or $\tan(\theta)$ and the quadrant of the angle.

• Calculations with sine and cosine
• Finding Trig Values
• Trigonometric Ratios and the Pythagorean Theorem

F-TF.C.9. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

• Coordinates of equilateral triangles
• Sum and Difference angle formulas