Demonstrate understanding of trigonometric identities including:
- reciprocal identities
- quotient identities
- Pythagorean identities
- sum or difference identities (restricted to sine, cosine, and tangent)
- double-angle identities (restricted to sine, cosine, and tangent)
| (a) |
Explain the difference between a trigonometric identity and a trigonometric equation. |
| (b) |
Verify numerically (using degrees or radians) whether or not a trigonometric statement is a trigonometric identity. |
| (c) |
Critique statements such as "If three different values verify a trigonometric identity, then the identity is valid". |
| (d) |
Determine, with the use of graphing technology, the potential validity of a trigonometric identity. |
| (e) |
Determine the non-permissible values of a trigonometric identity. |
| (f) |
Develop, explain, and apply strategies for proving trigonometric identities algebraically. |
| (g) |
Explain and apply strategies for determining the exact value of a trigonometric ratio by using sum, difference, and double-angle identities. |
