Transcript
Page 1: Properties of the Trigonometric Functions

Properties of the Trigonometric Functions

Page 2: Properties of the Trigonometric Functions

1. Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a

calculator.(Similar to p.136 #11-26)

570cos

Page 3: Properties of the Trigonometric Functions

2. Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a

calculator.(Similar to p.136 #11-26)

4

11csc

Page 4: Properties of the Trigonometric Functions

3. Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a

calculator.(Similar to p.136 #11-26)

6

23cot

Page 5: Properties of the Trigonometric Functions

4. Name the quadrant in which the angle θ lies.

(Similar to p.136 #27-34)

0cos,0sin

Page 6: Properties of the Trigonometric Functions

5. Name the quadrant in which the angle θ lies.

(Similar to p.136 #27-34)

0tan,0sec

Page 7: Properties of the Trigonometric Functions

6. Sin θ and cos θ are given. Find the exact value of each of the four

remaining trigonometric functions.(Similar to p.136 #35-42)

5

3cos,

5

22sin

Page 8: Properties of the Trigonometric Functions

7. Find the exact value of each of the remaining trigonometric functions of

θ.(Similar to p.136 #43-57)

IVquadrantin ,13

5cos

Page 9: Properties of the Trigonometric Functions

8. Find the exact value of each of the remaining trigonometric functions of

θ.(Similar to p.136 #43-57)

0cot,6

1sin

Page 10: Properties of the Trigonometric Functions

9. Find the exact value of each of the remaining trigonometric functions of

θ.(Similar to p.136 #43-57)

0csc,5sec

Page 11: Properties of the Trigonometric Functions

10. Use the even-odd properties to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #59-76)

60cos

Page 12: Properties of the Trigonometric Functions

11. Use the even-odd properties to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #59-76)

120tan

Page 13: Properties of the Trigonometric Functions

12. Use the even-odd properties to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #59-76)

3

2csc

Page 14: Properties of the Trigonometric Functions

13. Use properties of the trigonometric functions to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #77-88)

40cot40csc 22

Page 15: Properties of the Trigonometric Functions

14. Use properties of the trigonometric functions to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #77-88)

25sec25cos

Page 16: Properties of the Trigonometric Functions

15. Use properties of the trigonometric functions to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #77-88)

40cot220tan

Page 17: Properties of the Trigonometric Functions

16. Use properties of the trigonometric functions to find the exact value of each

expression. Do not use a calculator.(Similar to p.137 #77-88)

)50cot()310sin(

50cos


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