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Five-Minute Check (over Chapter 11)
CCSS
Then/Now
New Vocabulary
Key Concept: Trigonometric Functions in Right Triangles
Example 1: Evaluate Trigonometric Functions
Example 2: Find Trigonometric Ratios
Key Concept: Trigonometric Values for Special Angles
Example 3: Find a Missing Side Length
Example 4: Find a Missing Side Length
Key Concept: Inverse Trigonometric Ratios
Example 5: Find a Missing Angle Measure
Example 6: Use Angles of Elevation and Depression
You used the Pythagorean Theorem to find
side lengths of right triangles.
•  Find values of trigonometric functions for
acute angles.
•  Use trigonometric functions to find side lengths
and angle measures of right triangles.
•  trigonometry
•  cotangent
•  trigonometric ratio
•  reciprocal functions
•  trigonometric function •  inverse sine
•  sine
•  inverse cosine
•  cosine
•  inverse tangent
•  tangent
•  angle of elevation
•  cosecant
•  angle of depression
•  secant
Evaluate Trigonometric Functions
Find the values of the six
trigonometric functions
for angle G.
Find the value of the six
trigonometric functions for
angle A.
Find Trigonometric Ratios
In a right triangle, !A is acute and
Find the value of csc A.
.
Find a Missing Side Length
Use a trigonometric function to find
the value of x. Round to the nearest
tenth if necessary.
Write an equation involving sin, cos, or
tan that can be used to find the value of
x. Then solve the equation. Round to
the nearest tenth.
Find a Missing Angle Measure
A. Find the measure of !A.
Round to the nearest tenth if
necessary.
Find a Missing Angle Measure
B. Find the measure of !B.
Round to the nearest tenth if
necessary.
Use Angles of Elevation and Depression
B. ROLLER COASTER
The hill of the roller
coaster has an angle of
descent, or an angle of
depression, of 60°. Its
vertical drop is 195 feet.
From a blimp, the
apparent distance traveled
by the roller coaster is the
horizontal distance from
the top of the hill to the
bottom. Find the
horizontal distance.
12.1 HW:
P. 795
14-44E