Trig Functions of Acute Angles

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# Trig Functions of Acute Angles - PowerPoint PPT Presentation

Trig Functions of Acute Angles. Lesson 2.2. A. c. b. B. C. a. Right Triangle Ratios. Given a right triangle Ratios. Right Triangle Ratios. Given a specific triangle determine the ratios How to find the hypotenuse? Use the Pythagorean theorem Ratios. 7. 5. B.

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### Trig Functions of Acute Angles

Lesson 2.2

A

c

b

B

C

a

Right Triangle Ratios
• Given a right triangle
• Ratios
Right Triangle Ratios
• Given a specific triangledetermine the ratios
• How to find the hypotenuse?
• Use the Pythagorean theorem
• Ratios

7

5

B

Right Triangle Ratios
• Note: Text suggests importance of memorizing table on pg. 137 …
• Consider instead memorizing some standard triangles and deriving table as needed
Right Triangle Ratios
• Some important relationships for standard triangles

30°

45°

2

2

1

45°

60°

60°

1

1

1

Reciprocal Trig Functions
• Secant
• Cosecant
• Cotangent
• Note: newer models of calculators will have these built in
• Older systems can create functions
• Older TI-89's may be updated
Evaluating Trig Expressions
• Use calculator
• Important to keep track of when calculator is in radian or degree mode
• Use 2nd D to have function evaluate with degrees, even when in radian mode
Exercises for 2.2A
• Page 142
• 1 – 49 EOO
Solving Triangles
• For now problem will involve right triangles
• Usually one side and one angle will be given
• Must find one or both of the other sides

Distance acrossthe water?

• Write equation
• Solve for unknown quantity

52°

31 m

Solving Triangles
• Some problems talk about angle of elevation
• The line of sight above the horizontal
• The angle of depression
• The line of sight below the horizontal
Solving Triangles