Transformations
What changes when there is a horizontal translation up or down?
the midline
What is sin on the unit circle?
the y value of a point
Which functions have ranges that are from negative infinity to infinity except for 1?
cosecant and secant
What is the period for tangent and cotangent?
pi
What is the factor that causes a vertical stretch or shrink?
the amplitude
Which quadrants have the value of cosine as a positive?
Quadrants, I and IV.
What is cos on the unit circle?
The x value of a point
Which angle has sin and cos as √2/2?
pi/4
What are the intervals for the parent functions of cos, sin, csc, and sec?
pi/2
What changes if there is a horizontal shift?
the phase
-1
What is the fraction of tan on the unit circle?
y/x
Which angle could be equivalent to 90 degrees?
infinite amount of numbers (possible answers: -270 degrees, 450 degrees, 810 degrees, -630 degrees etc.)
Which angle is equal to pi/6?
30 degrees
What is the feature that shows how many cycles are in one period?
The frequency
Which quadrants have tangent as a negative value?
Quadrants II and IV
Which angle has a cos of √3/2 and a sin of 1/2?
pi/6
What is the equation for the Period of cos, sin, csc, and sec?
2pi/frequency
What is the period for the parent function of cos/sin and tan?
2pi for cos/sin and pi for tan
Which functions have alternating U-shapes?
Cosecant and secant
Which angle has a cos of 1/2 and a sin of √3/2?
pi/3
Is y=tanx even or odd?
Odd, the function is symmetrical over the origin