1. Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Unit 6: Trigonometry
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent

2. Intro to Trigonometry
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

3. SOH -TOA -CAH Remember the Great Indian Chief: Intro to Trigonometry
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

4. Intro to Trigonometry
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

5. Intro to Trigonometry
Since trigonometric ratios are constant and are based on the angle measures, we can determine any ratio for a given angle measure. Today, these ratios are programed into many calculators for ease of computation. To access these ratios use the SIN, COS, and TAN keys on your calculator.
Find the three trigonometric ratios for the given angle measures:
32˚ 58˚ 15˚ 85˚ 30˚ 45˚
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

6. Intro to Trigonometry
By using trigonometric ratios, an equation can be set up to solve for the missing sides of a right triangle if at least one side length and one angle measure is known.
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

7. Intro to Trigonometry
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

8. Intro to Trigonometry a=5 & c=13 m∠B=68˚ & b=10 C=17 & m∠A=38˚
Use the diagram at the right and the given information to completely solve the right triangle, that is find all the missing measures.
a=5 & c=13
m∠B=68˚ & b=10
C=17 & m∠A=38˚
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

9. Intro to Trigonometry
Goals: To use the sine, cosine, and tangent to solve problems involving right triangles.
Essential Understandings: In a right triangle, the ratios of the lengths of the sides; hypotenuse, opposite leg, and adjacent leg, depends on the angle measures. If the right triangles are similar, these ratios will be equal. You can completely solve a right triangle knowing only the length of two sides, or one side and one acute angle.

10. Intro to Trigonometry
Homework:
Worksheet 8.3
Select Problems