Coterminal and Reference Angles
Find a positive coterminal angle for 10˚
370˚, 730˚, ...
What would be the length of the hypotenuse on a right triangle drawn using the coordinate (3, √6)?
√15
What do you multiply by to change degrees to radians?
pi/180
Evaluate sin(π/4)
sqrt(2)/2
Angle measure that sit on the x and y axes
Quadrantals
These functions repeat in regular intervals
Periodic functions
Find the reference angle of -800 degrees
80 degrees
Which reciprocal trig function is positive in the second quadrant?
Cosecant
What do you multiply by to change radians to degrees?
180/pi
Evaluate cos (11π/6)
sqrt(3)/2
Positive, acute angles that are measured nearest x-axis
Reference angles
The phase shift tells us where the new ______ axis should go.
y-axis
Find the reference angle of 49π/11
5π/11
If secθ < 0 and tan θ > 0, what quadrant does the terminal side of the angle lie in?
QIII
What is 57π/60 in degrees?
171˚
Evaluate tan (3π/4)
-1
Angles that share a terminal side
Coterminal angles
amplitude is the distance between each max/min and the ______________ .
Midline
Find a negative coterminal angle for 39π/17
-29π/17, -63π/17
Find sinθ given the coordinate (2, -3)
-3√13/13
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
Evaluate cot (π)
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A graphed geometrical figure with a radius of 1 used to find missing lengths of special right triangles.
The Unit Circle
Find the period and quarter period for the given graph in SIMPLEST form.
y=5/2sin(3/2)(theta+pi/4)-7
(4pi)/3
pi/3
In what quadrant is the angle 103π/15 located?
QII (coterminal to 13π/15)
Find cotθ given the coordinate (-√11, √23)
-√253/23
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
Evaluate csc (4π/3)
-(2sqrt3)/3
Using trig functions, what is the cotangent equal to?
costheta/sintheta
Given the information, write the cosine function:
Amp: 3
Per: pi/3
Phase: left pi
Vertical: down 5
y=3cos6(theta+pi)-5