#### Math - 2017-18

# T.9 and *T.8 - Laws of Sines and Cosines

**T.9** The
student will **identify**, **create**, and **solve **real-world
problems involving triangles. Techniques will include using the trigonometric
functions, the Pythagorean Theorem, the Law of Sines, and the Law of Cosines.

T.8The student willcreateandsolvepractical problems involving triangles

*Adopted: 2009*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

- A real-world problem
may be solved by using one of a variety of techniques associated with
triangles.

· A practical problem may be
solved by using one of a variety of techniques associated with triangles.

### ESSENTIALS

T.9_{1 }**Write**
a real-world problem involving triangles.

T.9_{2 }**Solve**
real-world problems involving triangles.

·
T.8_{1}** Create**
and **solve** practical problems
involving triangles.

T.9_{3 }**Use**
the trigonometric functions, Law of Sines, and Law of Cosines to **solve** real-world problems.

·
T.8_{2}** Use**
the trigonometric functions, Pythagorean Theorem, Law of Sines, and Law of
Cosines to **solve** practical problems.

T.9_{4 }**Use**
the trigonometric functions to **model**
real-world situations.

·
T.8_{3}** Use**
the trigonometric functions to **model**
practical situations.

T.9_{5 }**Identify**
a solution technique that could be used with a given problem.

·
T.8_{4}** Identify**
a solution technique associated with triangles that could be used with a given
problem.

T.9_{6 }**Prove** the addition and subtraction formulas for sine, cosine, and
tangent and use them to solve problems.

·
T.8_{5}** Apply**
the sum and difference identities for sine, cosine, and tangent to **solve** problems.

^{}

### KEY VOCABULARY

*Updated: Oct 27, 2017*