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Name: ________________________________________________ Date: ____________________ Block: ____________
TRIGONOMETRY
Objectives: 1) I can apply the sine, cosine, and tangent ratios to find missing sides lengths
The parts of a right angle triangle are called
A
B
C
Trigonometric Ratio: the ratio of 2 sides of a right triangle.
a number
has special name(s)
helps find a missing side or angle of a right triangle
Function
Abbrev.
Sine
Cosine
Tangent
S
O
H
C
A
H
T
O
Use your calculator to find the following trig ratios (round to the nearest tenth).
sin 90 =
B) cos15 =
C) tan 73 =
Solve the following for the variable (round to the nearest tenth).
sin 23 
x
15
D) sin 80 
B) cos 74 
18
x
w
5
E) cos12 
C) tan 60 
10
y
3
y
F) tan 68 
z
43
A
Name: ________________________________________________ Date: ____________________ Block: ____________
Use trigonometric ratios to find the value of the variables. Round to the nearest hundredth.
A)
B)
5
27
x
C)
D)
SOLVING RIGHT TRIANGLES
Objectives:
1) I can apply the inverse trig functions to find missing angle measurements.
2) I can solve a triangle by finding all side lengths and all angle measurements.
*Once you know the sine, cosine, or tangent of an acute angle, you can use a calculator to find the measure of the angle.
FOR ANY ACUTE ANGLE A:
If sin A = x, then
If cos A = y, then
If tan A = z, then
If you are finding a SIDE you use ________________________.
If you are finding an ANGLE you use ______________________.
Solve the following right triangles. Round decimals to the nearest tenth.
A.
B.
Name: ________________________________________________ Date: ____________________ Block: ____________
Physics Applications:
1) During its approach to Earth, the space shuttle’s glide angle changes.
When the shuttle’s altitude is about 15.7 miles, its horizontal distance to the runway is about 59 miles. What is its glide
angle? Round your answer to the nearest tenth.
2) When the space shuttle is 5 miles from the runway, its glide angle is about 19. Find the shuttle’s altitude at this point
in its descent. Round your answer to the nearest tenth.