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Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees....

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Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. 2 1 sin . 1 1 Where is sin a = 2 1 4 th Quadrant 30 6 o 30 6
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Page 1: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Evaluating Inverse Trigonometric FunctionsEvaluate the expression in both radians and degrees.

2

1sin .1 1 Where is sin a = 2

1

4th Quadrant

30

6

o30

6

Page 2: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Evaluating Inverse Trigonometric FunctionsEvaluate the expression in both radians and degrees.

1 tan.2 1 Where is tan a = 1

1st Quadrant

454

o45

4

Page 3: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Evaluating Inverse Trigonometric FunctionsEvaluate the expression in both radians and degrees.

3

3 tan.3 1 Where is tan a =

3

3

4th Quadrant

30

6

o30

6

Page 4: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Evaluating Inverse Trigonometric FunctionsEvaluate the expression in both radians and degrees.

2

2cos .4 1 Where is cos a =

2

2

2nd Quadrant

454

4

3

45180 o1354

Page 5: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Finding an Angle MeasureFind the measure of the angle θ in both radians and degrees. Round to three significant digits.

.5

tan

983.0

4

6opposite

adjacent

4

6

5.1tan 1 radianso3.56

Page 6: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Finding an Angle MeasureFind the measure of the angle θ in both radians and degrees. Round to three significant digits.

.6

cos

32.1

8

2

hypotenuse

adjacent

8

2

25.0cos 1 radianso5.75

Page 7: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Finding an Angle MeasureFind the measure of the angle θ in both radians and degrees. Round to three significant digits.

.7

sin

848.0

12 9hypotenuse

opposite

12

9

75.0sin 1 radianso6.48

Page 8: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Solving a Trigonometric EquationSolve the equation for θ. Round to three significant digits.

oo 360270 ;72.0sin .8

1.46

72.0sin 1 1.461.46360 o9.313

Page 9: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Solving a Trigonometric EquationSolve the equation for θ. Round to three significant digits.

oo 18090 ;4.2 tan.9

4.67

4.2tan 1 4.674.67180 o6.112

Page 10: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Solving a Trigonometric EquationSolve the equation for θ. Round to three significant digits.

oo 270081 ;13.0cos .10

5.82

13.0cos 1 5.825.82180 o5.262

Page 11: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

Solving a Trigonometric EquationSolve the equation for θ. Round to three significant digits.

oo 18090 ;54.0sin .11

7.32

54.0sin 1 7.327.32180 o3.147

Page 12: Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4 th Quadrant.

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