Unit Circle
Which trig function is equivalent to the 'x' on the unit circle?
sine
Convert pi radians to degrees.
180^@
What is the amplitude of y=sin(x) ?
1
Write the equation of the sine function in terms of a right angle.
sin(theta)=o/h
What is the cosecant of an angle?
1/sin
What is sine of pi/6 ?
1/2
Convert 130^@ to radians.
(13pi)/18
Determine the amplitude of y=3/2cos(x) .
3/2
What quadrant does theta lie if the following are true?
cos(theta)>0 and sin(theta)<0
IV
If csc(theta)>0 , which quadrant(s) could the terminal side of theta lie?
Q1 and Q2
What is the cosine of (5pi)/4 ?
-sqrt(2)/2
Convert 245^@ to radians.
(49pi)/36
Determine the range of y=4sin(x) . Write your answer in interval notation.
[-4, 4] or
-4<=y<=4
What is the value of tan(theta) when sin(theta)=3/5 and theta is in quadrant II?
-3/4
What is the value of csc(theta) when sin(theta)=-3/5 and theta is in quadrant IV?
-5/3
What are the coordinates of the point on the unit circle at (3pi)/2 ?
(0, -1)
Convert (19pi)/10 to degrees.
342^@
Determine the range of y=4/5cos(x). Write your answer in interval notation.
[-4/5, 4/5]
Determine the exact value of tan(210^@) . (no decimals)
sqrt(3)/3
For the point (3, -6), Determine sec(theta) .
sqrt(5)
What is the tangent of (7pi)/6?
sqrt(3)/3
Convert -(15pi)/9 to degrees.
-300^@
Determine the range of y=-19cos(x) . Write your answer in interval notation.
[-19, 19]
For the point (3, -6), Determine cos(theta) .
sqrt(5)/5
For the point (3, -6), Determine csc(theta).
-sqrt(5)/2