Download 8.4 Trigonometry- Part II

8.4 Trigonometry- Part II
Inverse Trigonometric
Ratios
*To find the measure of
angles if you know the
sine, cosine, or tangent
of an angle.
*Use inverse
trigonometric ratio to
find the angle between
the ladder and the wall.
http://www.mathsisfun.com/algebra/images/trig-ladder.gif
Inverse Trigonometric Functions
Example 4: Find Angle Measures
Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T
to nearest tenth.
a.
b.
Example 4: Find Angle Measures
Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T
to nearest tenth.
c.
Solving a Right Triangle
*Using the given
measures of sides and
angles, you can find the
missing measures of
the sides and angles.
*Need to know: two
sides lengths or one
side length and
measure of one acute
angle.
We could solve this
right triangle to find
mG, mD,
and length of GO.
Example 5: Solve a Right Triangle
Round side measures to the nearest tenth
and angle measures to the nearest degree.
mG
mD
GO
Example 5: Solve a Right Triangle
Round side measures to the nearest tenth
and angle measures to the nearest degree.
mB
AB
BC
Trigonometry Word Problems
a. Ski Lift A chair lift on a ski slope makes an angle
with the ground that is 28 and covers a total distance of
4640 feet. To the nearest foot, what is the vertical
height h covered by the chair lift?
Trigonometry Word Problems
b.
Drive-In Movie You are 50 feet from the screen at a
drive-in movie. Your eye is one the horizontal line with
the bottom of the screen and the angle of your line of
sight to the top of the screen is 58. How tall is the
screen?
8.4 Trigonometry Part II
p. 574-577
#36-46 all, 50-58 evens, 62,
66-70 evens, 74-80 evens