Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an...

13
Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions. 8 , 15 . 1 15 8 2 15 2 8 225 64 289 17 17 sin 8 17 cos 15 17 tan csc 8 17 sec 15 17 cot 8 15 15 8

Transcript of Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an...

Page 1: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Evaluating Trigonometric Functions Given a PointUse the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

8,15 .1 15

8

215 28225 64

289 17

17sin

8

17

cos15

17

tan 8

15

csc8

17

sec15

17

cot 8

15

15

8

Page 2: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Evaluating Trigonometric Functions Given a PointUse the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

1,1 .2 11

21 211 1

2

2sin 1

2

cos2

tan 1

1

csc 2

sec 2

cot 1

2

2

1

2

2

1

Page 3: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Evaluating Trigonometric Functions Given a PointUse the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

13

21 2

31 3

4

2sin 3

2

cos2

tan 3

1

csc3

32

sec 2

cot 3

3

1

3

3,1 .3

2

Page 4: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Evaluating Trigonometric Functions Given a PointUse the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric functions.

4,3 .4

3

4

23 249 1625 5

5sin 4

5

cos3

5

tan

4

3

csc4

5

sec3

5

cot 4

3

Page 5: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Finding Reference AnglesFind the reference angle θ’ for each angle θ.

o210 .5

180210 o30

210

Page 6: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Finding Reference AnglesFind the reference angle θ’ for each angle θ.

o300 .6

300360 o60

300

Page 7: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Finding Reference AnglesFind the reference angle θ’ for each angle θ.

3

4 .7

3

4

3

3

4

Page 8: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Finding Reference AnglesFind the reference angle θ’ for each angle θ.

4

5 .8

4

5

4

4

5

Page 9: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Using Reference Angles to Evaluate Trigonometric Functions

Evaluate the function without using a calculator.

o225cos .9 180225

o45 225

All

o45cos2

2

Students

Take Calculus

Page 10: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Using Reference Angles to Evaluate Trigonometric Functions

Evaluate the function without using a calculator.

o330 tan.10330360

o30330

All

o30tan3

3

Students

Take Calculus

Page 11: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Using Reference Angles to Evaluate Trigonometric Functions

Evaluate the function without using a calculator.

3

4cot .11

3

4

3

3

4All

3cot

3

3

Students

Take Calculus

Page 12: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.

Using Reference Angles to Evaluate Trigonometric Functions

Evaluate the function without using a calculator.

3

5sin .12

3

52

3

3

5

All

3sin

2

3

Students

Take Calculus

Page 13: Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate the 6 trigonometric.