7-6 Sine and Cosine of Trigonometry

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

Function name Abbreviation Value The six ratios of a right triangle are called trigonometric functions of acute angles and are defined as follows: Function name Abbreviation Value

hypotenuse opposite adjacent c b a

c = Hypotenuse = 13 b = Opposite = 12 13 12 Find the value of each of the three trigonometric functions of the angle c = Hypotenuse = 13 b = Opposite = 12 13 12 Adjacent

c a b To solve a right triangle means to find the missing lengths of its sides and the measurements of its angles.

c 4 b

Two acute angles are complementary if their sum is a right angle. and are complimentary angles c b a

h 25 h = 23.49