Download Algebra 2 Intensified

Algebra 2 Intensified
Trigonometry Review
Remember:
S
Name: ______________
Date: _______________
O A O
C T
H H A
Example 1) Write an equation involving sin, cos, or tan that can be used to find x. Then
solve the equation. Round the measures of sides to the nearest tenth.
a.
b.
Example 2) Write an equation involving sin, cos, or tan that can be used to find x. Then
solve the equation. Round the angle measures to the nearest degree.
a.
b.
There are 3 new trig functions: Cosecant (csc), Secant (sec), and Cotangent (cot)
Example 3) Use Pythagorean Theorem to find the missing side length. Then, find the
values of the six trigonometric functions for the angle  .
a.
b.
sin   _____ csc   _____
sin   _____ csc   _____
cos   _____ sec   _____
cos   _____ sec   _____
tan   _____ cot   _____
tan   _____ cot   _____
Example 4) Match each trigonometric function with the correct ratio.
i.
r
t
a) sin 
ii.
r
s
b) tan 
iii.
t
r
iv.
c) sec
s
t
d) cot 
v.
s
r
e) cos
vi.
t
s
f) csc
5
, use Pythagorean theorem to find the missing triangle side.
8
Then, find the five remaining trig functions for B.
Example 5) If sin B 
a) cos   ____
b) tan   ____
c) sec   ____
d) cot   ____
e) csc   ____
Example 6) Solve ABC with right angle C by using the given measurements. Round
the measures of sides to the nearest tenth and the measures of angles to the nearest
degree.
a. A  72 , c  10
b. b  4, c  9
Applications: Some applications of trigonometry use an
angle of elevation or depression. In the figure, the angle
formed by the line of sight from the observer and a line
parallel to the ground is called the angle of elevation. The
angle formed by the line of sight from the plane and a line
parallel to the ground is called the angle of depression.
These angles are congruent since they are alternate interior
angles of parallel lines.
Example 7) John stands 150 meters from a water tower and sights the top at an angle of
elevation of 36 . How tall is the tower? Round to the nearest meter.
Example 8) You are on a lookout tower that is 250 feet tall. You see a fire at an angle
of depression of 5 . How far from the fire is the tower?