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Chapter 10 - NCPN

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Using a Calculator<br />

A scientific calculator can be used to evaluate trigonometric functions of<br />

different angles. Make sure your calculator is in degree mode if the angle<br />

measure is given in degrees and in radian mode if the angle measure is given<br />

in radians.<br />

Example 4<br />

Using a Calculator<br />

Use a calculator to evaluate y = tan θ for θ = 160°. Round your answer to<br />

the nearest thousandth.<br />

Solution<br />

Be sure the calculator is in DEGREE mode. Then press the key and<br />

enter the angle measure, 160. Note that on some scientific calculators, the<br />

measure of the angle is entered first.<br />

tan 160° ≈ –0.364<br />

Ongoing Assessment<br />

Use a calculator to evaluate each trigonometric expression. Round to the<br />

nearest thousandth. Be sure the calculator is in RADIAN mode. see margin<br />

a. cos 2 ≠<br />

7<br />

Lesson Assessment<br />

Think and Discuss<br />

b. sin ≠ 4<br />

c. tan 2p<br />

1. Explain how to convert an angle measure from radians<br />

to degrees.<br />

see margin<br />

2. Describe how to find the measure of a central angle if the<br />

circumference of the circle and the length of the intercepted arc<br />

are known.<br />

3. What is the x-coordinate of the point where the terminal side of<br />

an angle, θ, intersects the unit circle<br />

4. Describe in your own words what the value of tan θ means as it<br />

pertains to the unit circle.<br />

5. What is the y-coordinate of the point where the terminal side of<br />

an angle, θ, intersects the unit circle<br />

6. Which trigonometric function has a value of 1 for θ = 45°<br />

<strong>10</strong>.2 Evaluating Trigonometric Functions 445

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