Reference Angles and Sketching
Sketch the angle 370˚
Opening counterclockwise, all the way around one revolution ending in quadrant I.
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
Angle measures that sit on the x and y axes are called?
Quadrantals
Evaluate sin(π/4)
sqrt(2)/2
In what quadrant is the angle 80π/15 located?
III
The point (-3, 4) lies on the terminal side of an angle theta. What is the cosine of this angle?
costheta=-3/5
What do you multiply by to change radians to degrees?
180/pi
Positive, acute angles that are measured nearest x-axis
Reference angles
Evaluate cos (11π/6)
sqrt(3)/2
Find the reference angle of -800 degrees
80 degrees
Find sinθ given the coordinate (2, -3)
(-3sqrt(13))/13
What is 57π/60 in degrees?
171˚
A graphed geometrical figure with a radius of 1 used to find missing lengths of special right triangles.
The Unit Circle
Evaluate tan (3π/4)
-1
Find the reference angle of 49π/11
5π/11
Find cotθ given that the coordinate
(-4,-sqrt(5))
lies on the terminal side of θ.
(4sqrt(5))/5
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
Using the words 'opposite, adjacent, and hypotenuse', what is the cotangent equal to?
(adjacent)/(opposite)
Evaluate cot (π)
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