#### Math - 2019-20

# T.5 - Trigonometric Identities

**T.5 ** The student will **verify**
basic trigonometric identities and **make substitutions**, using the basic identities.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

2016 VDOE Curriculum Framework - T.5 Understanding

· Trigonometric identities can be used to simplify trigonometric expressions, equations, or identities.

· Trigonometric identity substitutions can help solve trigonometric equations, verify another identity, or simplify trigonometric expressions.### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

· T.5

_{1}Usetrigonometric identities tomakealgebraicsubstitutionstosimplifyandverifytrigonometric identities. The basic trigonometric identities include

– reciprocal identities;

– Pythagorean identities;

– sum and difference identities;

– double-angle identities; and

– half-angle identities.

### KEY VOCABULARY

*Updated: May 29, 2018*