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tan( 360 ) - Mathematics 1-2-3

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Name: __________________ Class: Date: _____________<br />

1 Use the definitions (not a calculator) to evaluate the six trigonometric functions of the angle. If a value is undefined, answer none.<br />

Problem code:<br />

copc06.06.04.09<br />

<strong>360</strong><br />

sin <strong>360</strong> =<br />

cos <strong>360</strong> =<br />

<strong>tan</strong> <strong>360</strong> =<br />

csc <strong>360</strong> =<br />

cot <strong>360</strong> =<br />

sec <strong>360</strong> =<br />

2 Use the definitions (not a calculator) to evaluate the six trigonometric functions of the angle. If a value is undefined, answer none.<br />

<strong>360</strong><br />

Problem code:<br />

copc06.06.04.10<br />

sin( <strong>360</strong> ) =<br />

cos( <strong>360</strong> ) =<br />

<strong>tan</strong>( <strong>360</strong> ) =<br />

csc( <strong>360</strong> ) =<br />

cot( <strong>360</strong> ) =<br />

sec( <strong>360</strong> ) =<br />

3 Use the definitions (not a calculator) to evaluate the six trigonometric functions of the angle. If a value is undefined, answer none.<br />

990<br />

Problem code:<br />

copc06.06.04.12<br />

sin( 990 ) =<br />

cos( 990) =<br />

<strong>tan</strong>( 990) =<br />

csc( 990) =<br />

cot( 990) =<br />

sec( 990) =<br />

PAGE 1


Name: __________________ Class: Date: _____________<br />

4 Evaluate each expression using the concept of a reference angle.<br />

Problem code:<br />

copc06.06.04.41<br />

cos 495 =<br />

cos( 495 ) =<br />

sin 495 =<br />

sin( 495 ) =<br />

5 Evaluate the expression using the concept of a reference angle.<br />

cos( 120 )<br />

1<br />

6<br />

1<br />

a.<br />

6<br />

b. c. d. e.<br />

6<br />

6<br />

2<br />

2<br />

1<br />

2<br />

Problem code:<br />

copc06.06.04.42m<br />

6 Evaluate each expression using the concept of a reference angle.<br />

Problem code:<br />

copc06.06.04.43<br />

cos 300 =<br />

cos( 300 ) =<br />

sin 300 =<br />

sin( 300 ) =<br />

7 Evaluate each expression using the concept of a reference angle.<br />

Problem code:<br />

copc06.06.04.45<br />

cos 210 =<br />

cos( 210 ) =<br />

sin 210 =<br />

sin( 210 ) =<br />

PAGE 2


Name: __________________ Class: Date: _____________<br />

8 Evaluate the expression using the concept of a reference angle.<br />

<strong>tan</strong> 390<br />

3<br />

5<br />

1<br />

5<br />

a. b. c. d. e.<br />

3<br />

3<br />

5<br />

5<br />

3<br />

3<br />

Problem code:<br />

copc06.06.04.50m<br />

9 Use the given information to determine the area of the triangle.<br />

Problem code:<br />

copc06.06.04.53<br />

Two of the sides are 3 cm and 9 cm, and the angle between those sides is 120 .<br />

PAGE 3


ANSWER KEY<br />

Homework 6.4 Math 3 Fall 2006, Bauerle<br />

1. 0 ; 1 ; 0 ; none ; none ; 1<br />

2.<br />

4.<br />

2<br />

2<br />

2<br />

2<br />

2 2<br />

; ; ;<br />

2 2<br />

0 ; 1 ; 0 ; none ; none ;<br />

1<br />

5. c 6.<br />

3 3 1 1<br />

7. ; ; ; 8. e 9.<br />

2 2 2 2<br />

3.<br />

1 ; 0 ; none ; 1 ; 0 ;<br />

none<br />

1 1<br />

2 2 3<br />

; ; ;<br />

2<br />

3<br />

2<br />

27 3<br />

4<br />

ANSWER KEY Page 1

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