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Right Triangle Trigonometry Vocabulary
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Terms in this set (28)
trigonometry
a branch of mathematics that deal with the relationships between the sides of angles of triangles and the calculations based on these relationships
trigonometric ratio
a ratio that describes a relationship between the sides and angles of a right triangle
SOH_CAH_TOA
Hypotenuse
The side opposite the right angle
Right Angle
An angle of 90 degrees, a square is a symbol that shows you have a right angle
right triangle
a triangle containing one angle that measures exactly 90 degrees
Theta
A Greek symbol commonly used to represent an unknown angle
hypotenuse
the longest side of a right triangle
Adjacent
The side next to the reference angle
Adjacent Leg
The leg next to the angle (never is the hypotenuse).
adjacent side
the side next to the reference angle in a right triangle
Opposite
The side facing the reference angle
Opposite Leg
The leg across from the angle (never is the hypotenuse).
opposite side
the side across from the reference angle in a right triangle
sine
in a right triangle , the ratio of the length of the side opposite the angle divided by the hypotenuse
Sine
The opposite leg divided by the hypotenuse.
cosine
in a right triangle, the ratio of the length of the side adjacent to the angle divided by the hypotenuse
Cosine
The adjacent leg divided by the hypotenuse.
tangent
in a right triangle, the ratio of the length of the side opposite the angle divided by the length of the adjacent side
Tangent
The opposite leg divided by the adjacent leg.
Inverse Sine
The inverse sine gives the angle given the opposite leg and the hypotenuse.
Sine
Ratio of length of Opposite divided by Hypotenuse
Cosine
Ratio of length of Adjacent divided by Hypotenuse
Tangent
Ratio of length of Opposite divided by Adjacent
similar triangles
triangles with corresponding angles are congruent and corresponding sides are proportional
complementary angles
two angles that sum of measures equal 90degrees
angle of elevation
the angle between the horizontal and the line of sight to an object above the horizontal
angle of depression
the angle between the horizontal and the line of sight to an object below the horizontal
Pythagorean Theorem
In a right triangle, the sum of the squares of the legs (2 shorter sides) is equal to the square of the hypotenuse - which is the longest side.
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