The Unit Circle
What is the value of sin(pi/2) on the unit circle?
1
In a right triangle, which trig functions has the ratio of the length of the opposite leg to the length of the hypotenuse.
Sine
Two angles are ___________ if they have the same initial side and terminal side, but have different measures.
Coterminal
What is the period of Sine?
from 0 to 2pi
How many points from 0 to 2pi, does cosx = 0?
3
(0,pi,2pi)
Find cosA and tanA if sinA = 5/13.
cosA = 12/13; tanA = 5/12.
Find one positive and one negative angle that are coterminal with -142 degrees.
+218 degrees; -502 degrees (other coterminal angles acceptable, also)
It is vertically shifting down 2
What is the cos 120 degrees?
-sqrt.3 / 2
(I can't use math symbols unless I pay...........)
WITHOUT using a calculator, evaluate sec(pi/3).
2
Find the six trig functions of angle A, whose terminal side contains the point (-8,15).
sinA = 15/17; cosA = -8/17; tanA = -15/8 cscA = 17/15; secA = -17/8; cotA = -8/15
The amplitude of the function f(x) = 1/2 cos X is 1/2. How does that affect the graph?
It vertically shrinks the curves by a factor of 1/2.
Find the point on the Unit Circle associated with the rotation -9pi/2
(-1,0)
Find the angle theta in degrees AND radians, such that cotx = 1.
45 degree / pi/4 radians
Find the 6 trig functions of 330 degrees.
sin(330) = -1/2; cos(330) = sqrt3/2; tan(330) = -1/sqrt3 csc(330) = -2; sec(330) = 2/sqrt3; tan(330) = -sqrt3
which two parent trig functions, go through the origin (0,0)?
y=tanx
what is the arctan(-1)
-pi/4
A guy wire from the top of a transmission tower forms a 75 degree angle with the ground at a 55 ft distance from the base of the tower. How tall is the tower
205.26ft
Find secA and cscA if cotA = -4/3 and cosA < 0
secA = -5/4; cscA = 5/3
List how f(X) = -2 sin(4X) + 1 transforms the graph of f(X) = sinX
a = -2, so the amplitude shifts from 1 to 2, stretching it vertically by a factor of 2, as well as reflecting across the x-axis. b = 4, so the period changes from 2pi to pi/2, shrinking it horizontally by a factor of 1/4. d = 1, so it shifts the entire graph vertically up 1 unit.