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PPT – Sec 6.2 Trigonometry of Right Triangles PowerPoint presentation | free to download - id: 676118-OTFlO

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Sec 6.2 Trigonometry of Right Triangles

- Objectives
- To define and use the six trigonometric functions

as ratios of sides of right triangles. - To review special right triangles.
- To solve right triangles using trigonometric

ratios.

Trigonometric Ratios

Ex 1. Find the six trig ratios of the angle ?.

Ex 2. Sketch a right triangle with acute angle ?

and find the other five trig ratios of ?.

- a) b)

Class Work

- Find the six trig ratios of the angle ?.
- a) Find sin ? and cos ?
- b) Find tan ? and cot ?
- c) Find sec ? and csc ?

- 3. Sketch a right triangle with acute angle ?

and find the other five trig ratios of ?. - a) b)

Special Triangles

? in degrees ? in radians sin ? cos ? tan ? csc ? sec ? cot ?

30?

45?

60?

Ex 3. Evaluate the following without a calculator.

- a) b)

Ex 4. Find the exact value of x.

- a) b)

Class Work

- Evaluate the expression without using a

calculator. - 4. sin 30? csc 30?
- 5.

- Find the exact value of x.
- 6. 7.

Solving a Right Triangle

- A triangle has six partsthree angles and three

sides. - To solve a triangle means to determine all of

its parts from the information known about the

triangle. - In other words, we determine the lengths of the

three sides and the measures of the three angles.

Ex 5. Solve the triangle.

- a) b)

Class Work

- Solve the triangle.
- 8. 9.

- 10. From the top of a 200 ft lighthouse, the

angle of depression to a ship in the ocean is

23?. How far is the ship from the base of the

lighthouse?

- HW 2 p484 1-35 odd, 49, 50.