Algebra 2 CH 9.4 Evaluate Inverse Trigonometric ... AWS
Algebra 2 CH 9.4 Evaluate Inverse Trigonometric Functions.notebook
Evaluate Inverse Trigonometric Functions 9.4 Evaluate Inverse Trigonometric Functions • inverse sine
o
•
inverse cosine
•
inverse tangent
•
Solving for unknown angle measurements
o
August 30, 2013
Evaluate Inverse Trigonometric Functions
If you know the sine of an angle, what can you do to find the measurement of the angle itself?
o
Evaluate Inverse Trigonometric Functions We are going to use inverse trigonometric functions. You will almost always need your calculator or unit circle to solve these problems.
Evaluate Inverse Trigonometric Functions Inverse trigonometric functions behave in the same manner as the inverse functions we studied earlier in the year.
The inverse trig functions on your calculator are:
Evaluate Inverse Trigonometric Functions When we dealt with inverse functions the following was true:
Evaluate Inverse Trigonometric Functions When using inverse trig functions the following is true:
AND
1
Algebra 2 CH 9.4 Evaluate Inverse Trigonometric Functions.notebook
Evaluate Inverse Trigonometric Functions
August 30, 2013
And the following is NOT true:
Evaluate Inverse Trigonometric Functions How can we find the measurement of θ using sin1
Evaluate Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions In chapter 9.1, we used this triangle to find the value of cos θ, now we want to find the measurement of the angle θ.
8
Evaluate Inverse Trigonometric Functions 8
θ
θ
12
Evaluate Inverse Trigonometric Functions
12
What is the value of θ ? 12 θ
4
2
Algebra 2 CH 9.4 Evaluate Inverse Trigonometric Functions.notebook
Evaluate Inverse Trigonometric Functions
August 30, 2013
Evaluate Inverse Trigonometric Functions
To avoid a steep descent, a plane flying at 35,000 feet must start its decent 150 miles from the airport. At what constant angle of descent θ should the plane descend?
θ 35000 feet.
θ 35000 feet.
Airport Airport 150 mi.
150 mi.
Evaluate Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions
θ
9.4 Evaluate Inverse Trigonometric Functions • inverse sine
35000 feet.
Airport o
•
inverse cosine
•
inverse tangent
•
Solving for unknown angle measurements
150 mi.
o
o
3
Evaluate Inverse Trigonometric Functions 9.4 Evaluate Inverse Trigonometric Functions • inverse sine
o
•
inverse cosine
•
inverse tangent
•
Solving for unknown angle measurements
o
August 30, 2013
Evaluate Inverse Trigonometric Functions
If you know the sine of an angle, what can you do to find the measurement of the angle itself?
o
Evaluate Inverse Trigonometric Functions We are going to use inverse trigonometric functions. You will almost always need your calculator or unit circle to solve these problems.
Evaluate Inverse Trigonometric Functions Inverse trigonometric functions behave in the same manner as the inverse functions we studied earlier in the year.
The inverse trig functions on your calculator are:
Evaluate Inverse Trigonometric Functions When we dealt with inverse functions the following was true:
Evaluate Inverse Trigonometric Functions When using inverse trig functions the following is true:
AND
1
Algebra 2 CH 9.4 Evaluate Inverse Trigonometric Functions.notebook
Evaluate Inverse Trigonometric Functions
August 30, 2013
And the following is NOT true:
Evaluate Inverse Trigonometric Functions How can we find the measurement of θ using sin1
Evaluate Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions In chapter 9.1, we used this triangle to find the value of cos θ, now we want to find the measurement of the angle θ.
8
Evaluate Inverse Trigonometric Functions 8
θ
θ
12
Evaluate Inverse Trigonometric Functions
12
What is the value of θ ? 12 θ
4
2
Algebra 2 CH 9.4 Evaluate Inverse Trigonometric Functions.notebook
Evaluate Inverse Trigonometric Functions
August 30, 2013
Evaluate Inverse Trigonometric Functions
To avoid a steep descent, a plane flying at 35,000 feet must start its decent 150 miles from the airport. At what constant angle of descent θ should the plane descend?
θ 35000 feet.
θ 35000 feet.
Airport Airport 150 mi.
150 mi.
Evaluate Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions
θ
9.4 Evaluate Inverse Trigonometric Functions • inverse sine
35000 feet.
Airport o
•
inverse cosine
•
inverse tangent
•
Solving for unknown angle measurements
150 mi.
o
o
3
