Topic: Trig Functions with a Calculator and



Topic: Trig Functions with a Calculator and

Simple Trig Equations

Angle Conversions Using a Calculator

Label the approximate decimal value of the quadrantal angles in radians. Round radians to three decimal places.

Determine the quadrant for each angle in radians.

1. 5 2. .487

3. 2.5 4. -3.5

Convert from degrees to radians.

5. 155˚ 6. -72˚

Convert from radians to degrees.

Round to the nearest degree.

7. 5.8 8. .324

Finding Values of Trig Functions Using a Calculator

The Basic Functions - Sin θ, Cos θ, and Tan θ:

9. sin 30º = _______ 10. cos 47.2º = ________

11. tan [pic] = ________ 12. cos [pic] = ________

13. tan [pic] = ________ With a calculator.

tan [pic] = ________ Without a calculator.

The Reciprocal Functions - Csc(, Sec(, and Cot(

14. sec 24º = ____________ = ________

15. cot (-206.7º) = ____________ = ________

16. csc[pic] = ____________ = ________

17. cot [pic] = _________ = _________ With a calculator.

cot [pic] = ________ Without a calculator.

Solving Simple Trig Equations (Non-Calculator)

Find values of ( that satisfy the equation for 0º ( ( ( 360º and

0 ( ( ( 2(. List your results in degrees and radians. Do not use a calculator.

18. sin( = [pic]

19. cot( = [pic]

20. cos θ = -1

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IMPORTANT NOTE: Always put your calculator in the correct MODE before finding any trig values in your calculator.

Complete the table below:

|Radians |Degrees |

|1 | |

|2 | |

|3 | |

|4 | |

|5 | |

|6 | |

Steps:

1. Ignore the sign of the answer and find the reference angle, α, so that

Sin α = [pic]

2. Place α in the correct quadrants for the sign of the answer.

Note: Each trig function has two positive quadrants and two negative quadrants, so there should be two answers unless θ is quadrantal. This means that trig functions are

NOT _________________ functions.

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