7.7 Notes

Warm-Up
BellExercises
Work
1. If PR = 12 and m
R = 19°, find p.
2. Fill in the table.
Sine
30
45
60
Cosine
Tangent
Daily
Homework
Quiz
Warm-Up
Exercises
Review
Use this diagram.
1.
If a = 9 and m
o
B = 74 , find b to the nearest tenth.
Daily
Homework
Quiz
Warm-Up
Exercises
Review
Use this diagram.
2.
o
If a = 5 and m B = 11 , find the number of square
units in the area of ABC to the nearest tenth.
Warm-Up
Exercises
Notes
Inverse Trigonometric Ratios
Let A be an acute angle.
Inverse Sine: If sinA = y, then sin-1y = mA
Inverse Cosine: If cosA = z, then cos-1z = mA
Inverse Tangent: If tanA = x, then tan-1x = mA
Warm-Up1Exercises
EXAMPLE
Use an inverse tangent to find an angle measure
Use a calculator to approximate the measure of
the nearest tenth of a degree.
A to
Warm-Up2Exercises
EXAMPLE
Use an inverse sine and an inverse cosine
Let A and
B be acute angles in a right triangle.
Use a calculator to approximate the measures of A
and
B to the nearest tenth of a degree.
a. sin A = 0.87
b. cos B = 0.15
Warm-Up3Exercises
EXAMPLE
Solve a right triangle
Solve the right triangle. Round decimal answers to
the nearest tenth.
Warm-Up
Exercises
GUIDED
PRACTICE
3. Solve a right triangle that has a 40o angle and a 20
inch hypotenuse.
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
Use this diagram for exercises 1-3.
1.
If x = 9 and z = 11 find m
degree.
X to the nearest tenth of a
2.
If y = 5 and z = 12 find m
degree.
X to the nearest tenth of a
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
Use this diagram for exercises 1-3.
3.
If m
Y = 17.4° and z = 12 solve ∆XYZ.
Warm-Up
Exercises
For Tomorrow
Homework
HW: 7.7 (pg. 480-481) #10,14,20,22,28,30,31,34