Transformations
What changes when there is a horizontal translation up or down?
the midline
What is the cos and sin at pi/2 on a unit circle?
cos is 0 and sin is 1
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 value of tangent (5pi/3)
square root of 3
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 is a horizontal shift also called?
Phase Shift
What is the sin at pi?
-1
What is the fraction of tan on the unit circle?
y/x
What is the circumference and radius of the unit circle?
2pi and 1
What is the value of sin(pi/6)?
1/2
How do you calculate increments?
Period /4
Which quadrants have tangent as a negative value?
Quadrants II and IV
What are the two reciprocals of sin and cos and the fractions them?
cosecant and 1/y, and secant and 1/x
Which angle has a cos of √3/2 and a sin of 1/2?
pi/6
What are the transformations of the following equation?
y=-7sinx +3
reflection over x-axis
vertical stretch, up 3
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
What is the reciprocal of tan and its fraction?
Which angle has a cos of 1/2 and a sin of √3/2?
pi/3
Find the 5 other trig values if sin(t)=5/7 in quadrant 1
cost = 2root6/7
tant = 5 root 6/12
sect = 7 root 6/12
cott = 2root 6/5
csct = 7/5