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

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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

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

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

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

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

o210 .5

180210 o30

210

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

o300 .6

300360 o60

300

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

3

4 .7

3

4

3

3

4

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

4

5 .8

4

5

4

4

5

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

Using Reference Angles to Evaluate Trigonometric Functions

Evaluate the function without using a calculator.

o330 tan.10330360

o30330

All

o30tan3

3

Students

Take Calculus

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

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