Download on its terminal side, and r = the trigonometric functions of Θ are as

Name ____________________________________Date ______________Block _____
Adv. Math: Chapter 5
Lesson 3 – Part 2:
Objectives:
 Find the values of the six trigonometric functions of an angle in standard
position given a point on its terminal side.
For any angle in standard position with measure Θ, a
Trigonometric
point P(x, y) on its terminal side, and r = √𝒙𝟐 + 𝒚𝟐 , the
Functions of an
trigonometric functions of Θ are as follows:
angle in
𝒚
𝒚
𝒙
tan Θ =
sin Θ =
cos Θ =
𝒙
𝒓
𝒓
standard
𝒓
𝒙
𝒓
position
csc Θ =
cot Θ =
sec Θ =
𝒚
𝒚
𝒙
Ex. 4a: Find the values of the six trigonometric functions for angle Θ in standard
position if a point with coordinates (5, -12) lies on its terminal side.
Ex. 4b: Find the values of the six trigonometric functions for angle Θ in standard
position if a point with coordinates (-15, 20) lies on its terminal side.
Ex. 5: suppose Θ is an angle in standard position whose terminal side lies in
4
Quadrant III. If sin Θ = − , find the values of the remaining five trigonometric
5
functions of Θ.