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