1. Find the values of the six trigonometric functions for 300
Warm Up
Find the values of the six trigonometric functions for 300

2. Section 2.3
Finding Trigonometric Function Values Using a Calculator
Objective:
SWBAT find trig function values using a calculator.

3. Function Values Using a Calculator
Calculators are capable of finding trigonometric function values.
When evaluating trigonometric functions of angles given in degrees, remember that the calculator must be set in degree mode.
Remember that most calculator values of trigonometric functions are approximations.

4. Finding Function Values with a Calculator Approximate the value of each expression.
b) cot 
Use the identity
cot 

5. Approximate the value of each expression.
FINDING FUNCTION VALUES WITH A CALCULATOR
Approximate the value of each expression.
(a) sin 49°12′ ≈
(b) sec °
Calculators do not have a secant key, so first find cos ° and then take the reciprocal.
sec ° ≈ –

6. Approximate the value of each expression.
FINDING FUNCTION VALUES WITH A CALCULATOR
Approximate the value of each expression.
(c)
Use the reciprocal identity
(d) sin (–246°)
≈ –

7. Angle Measures Using a Calculator
REMEMBER:
Graphing calculators have three inverse functions.
If x is an appropriate number, then
gives the measure of an angle whose sine, cosine, or tangent is x.

8. Using Inverse Trigonometric Functions to Find Angles
Use a calculator to find an angle in the interval that satisfies each condition.
Using the degree mode and the inverse sine function, we find that an angle having sine value is
We write the result as

9. Using Inverse Trigonometric Functions to Find Angles continued
Use the identity Find the
reciprocal of to get
Now find using the inverse cosine function. The result is

10. USING INVERSE TRIGONOMETRIC FUNCTIONS TO FIND ANGLES
Use a calculator to find an angle θ in the interval [0°, 90°] that satisfies each condition.
(a)
Use degree mode and the inverse sine function.
(b)
Use the identity

11. Homework
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