2'2 Right Triangle Trigonometry

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2.2 Right Triangle Trigonometry
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Homework

• 1,5,11,15,19,21,27,29,33,37,45,47,49,53,58

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A triangle in which one angle is a right angle is
called a right triangle. The side opposite the
right angle is called the hypotenuse, and the
remaining two sides are called the legs of the
triangle.
c
b
a
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The six ratios of a right triangle are called
trigonometric functions of acute angles and are
defined as follows
Function name
Abbreviation
Value
5
hypotenuse
opposite
adjacent
c
b
a
6
hypotenuse
opposite
adjacent
c
b
a
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Find the value of each of the six trigonometric
functions of the angle
c Hypotenuse 13
b Opposite 12
13
12
Adjacent
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Reciprocal Identities
Quotient Identities
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PYTHAGOREAN IDENTITIES
c
b
a
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PYTHAGOREAN IDENTITIES
Prove the identities
12
c
a
b
To solve a right triangle means to find the
missing lengths of its sides and the measurements
of its angles.
13
c
4
b
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Two acute angles are complementary if their sum
is a right angle.
and
are complimentary angles
c
b
a
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Cofunctions of complimentary angles are equal
c
b
a
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Cofunctions of complimentary angles are equal
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h
h 23.49