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ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
Reading Assignment: Chapter 13, Pages 828 – 832
TRIGONOMETRIC FUNCTIONS
SIDES OF A RIGHT TRIANGLE:

Hypotenuse: opposite the 90 angle

Adjacent: helps form the angle in question

Opposite: opposite the angle in question – NOT one of the rays of the angle
ANGLE A:
ANGLE B:
Opposite:
Opposite:
Adjacent:
Adjacent:
Hypotenuse:
Hypotenuse:
ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
SOH CAH TOA
TRY THIS Page 829:
Find the values of the six trig functions of Y for XYZ. Give exact answers and answers
rounded to the nearest ten-thousandth.
ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
RECIPROCAL FUNCTIONS
ALSO IMPORTANT
EXAMPLE: Find x
TRY THIS Page 831: For KLM, find KL and LM to the nearest tenth.
ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
INVERSE FUNCTIONS


Use trigonometric functions to determine a missing side in a triangle.
Use the inverse of trigonometric functions to determine an angle in a triangle.
EXAMPLE: Solve ABC, give angles to the nearest degree and sides to the nearest tenth.
TRY THIS Page 832: Solve KLM, give angles to the nearest degree and sides to the nearest
tenth.
ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
ANGLES OF ELEVATION & DEPRESSION

Angle of Elevation = an angle between a horizontal line and a line of sight to a point
above.

Angle of Depression = an angle between a horizontal line and a line of sight to a point
below.
EXAMPLE: An engineer stands 50 feet away from a building and sights the top of the
building with a surveying device mounted on a tripod. If the surveying device is 5 feet above
the ground and the angle of elevation is 50, how tall is the building?
ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry
HW T – 1:
Pages 833 – 834
#9 – 47 Odds