Problem of the Day
Sketch the angle in standard position(starting on the x­axis)
1. ­240
2.
Problem of the Day
Find the 6 trig functions for the angle formed by the line through the origin and (1, 2) with the x­axis.(Leave in simplest radical form.)
Problem of the Day
Find csc if and is in Quadrant IV
Problem of the Day
Find the other trig functions if . Leave your answers in simplest radical form.
Problem of the Day
Find the other trig functions if and is in Quadrant I.
6­3 General Angle and Real Number Domains
Find the 6 trig functions for the angle formed by the line through the origin and (3, 4) with the x­axis.
sinθ
cscθ
cosθ
secθ
tanθ
cotθ
General form for finding trig functions of θ given a point (x,y)
r = sinθ
cscθ
cosθ
secθ
tanθ
cotθ
Find the 6 trig functions of the angle θ formed by the point (5,12) Example
Find the 6 trig functions for the angle formed by the line through the origin and (­3, ­4) with the x­axis.
Example
Find the 6 trig functions of the angle θ formed by the point (­1,3)
(Leave in simplest radical form.)
Quadrants
What trigonometric functions are positive?
Example
Find the other trig functions given the following information.
sinθ = ­3/7 and θ is in Quadrant III
tanθ= 2 and θ is in Quadrant I
Example
Find tanθ if secθ = and θ is in Quadrant II
Example
Find tangent of if
cscθ = 6/5 and θ is in Quadrant II
PHYSICS!!!!!!!!!!!!!!!!!!!!!!
The position of a piston can be given by(where t is in seconds)
What is the significance of the ?
What is the position at t = .2 seconds?
Readings and Examples:pgs 435­440
HW:p442­3:2­4,9­12,15­22,32,34­39,46, 48, 53­57,64,69
Practice Problems
Find the 6 trig functions for the angle formed by the line through the origin and (12, ­5) with the x­axis.(Leave in simplest radical form.)
Practice Problems
Find the sin and cot for the angle formed by the line through the origin and (­4, ­1) with the x­axis.(Leave in simplest radical form.)
Practice Problems
Find the tanα and secα if cosα = and α lies in Quadrant II.
Practice Problem
Find the sinγ and cscγ if cotγ = 6 and γ lies in Quadrant III.