CA - Trigonometry - 3.0
3.0 Students know the identity cos^2(x) + sin^2(x) = 1 :
- 3.1 Students prove that this identity is equivalent to the Pythagorean theorem (i.e., students can prove this identity by using the Pythagorean theorem and, conversely, they can prove the Pythagorean theorem as a consequence of this identity).
- 3.2 Students prove other trigonometric identities and simplify others by using the identity cos^2(x) + sin^2(x) = 1 . For example, students use this identity to prove that sec^2(x) = tan^2(x) + 1 .