Presentation on theme: "Notes # ____. trigonometry trigonometry : the study of the properties of triangles trigonometric ratio trigonometric ratio : ratio of measures of two."— Presentation transcript:
Notes # ____
trigonometry trigonometry : the study of the properties of triangles trigonometric ratio trigonometric ratio : ratio of measures of two sides of a right triangle tangent tangent : in a right triangle, the ratio of the leg opposite the acute angle to the leg adjacent to the acute angle
Definition A C B hypotenuse leg adjacent to A leg opposite A
Ex 1 A C B 41 40 9 Find tan A and tan B.
Ex 2 P R Q 5 4 3 Find tan P and tan Q.
Tangents with Angle Measurements F D E 70 45 m The tangent of an angle depends on the angle, not the size of the triangle. Find the measurement of DF. Ex 3
R Q P 55 20 m Find the measurement of QR. Ex 4
Angles of Elevation and Depression Applications of trigonometry may include these angles Find the measurement of DF. angle of depression angle of elevation
Find the height of the tree Ex 5 B C A 5 ft 40 100 ft
Find the angle of elevation. Ex 6 B C A 10 ft 48 ft arctangent is the same as inverse tangent
Find the angle of depression. Ex 7 B C A 760 ft 5000 ft