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Graphing Trig Functions
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If you graphed the function y=cos(1/2x), at what positive value of x would the function reach a minimum first?
2Ï€
If you graphed the function y=sin(2x), at what positive value of x would the function reach a maximum first?
Ï€/4
What graph is this?
 
y= - tan(x)
 
y=cot(x)
 
y=tan(x)
 
y = - cot(x)
What graph is this?
 
y= - cot(x)
 
y=cot(x)
 
y=tan(x)
 
y = - tan(x)
What graph is this?
 
y=cot(x)
 
y= - cot(x)
 
y=tan(x)
 
y = - tan(x)
What graph is this?
 
y=tan(x)
 
y=cot(x)
 
y=-tan(x)
 
y=-cot(x)
What graph is this?
 
y = -2sin(2x)
 
y = -2cos(2x)
 
y = 2sin(2x)
 
y = 2cos(2x)
For the function y=acot(bx) + d, which value of b will give the function a period of 1/2?
2Ï€
For the function y=atan(bx) + d, which value of b will give the function a period of 3?
Ï€/3
For the function y=acos(bx) + d, which value of b will give the function a period of 18?
Ï€/9
For the function y=asin(bx) + d, which value of b will give the function a period of 7?
2Ï€/7
From [0, 2Ï€] {included} where does y=cot(x) have vertical asymptotes? (Name all of them)
0, π, 2π
From [0,2Ï€] {included} where does y=tan(x) have vertical asymptotes? (Name all of them)
Ï€/2, 3Ï€/2
Which functions have vertical asymptotes whenever cos(x)=0? (you have to say both)
y=sec(x) and y=tan(x)
Which functions have vertical asymptotes wherever sin(x)=0 (you have to say both)
y=csc(x) and y=cot(x)
Which function has a zero whenever cos(x) = 0?
y = cot(x)
Which function has a zero whenever y=sin(x) = 0?
y=tan(x)
Which functions begins and ends with a max/min, and has a max/min halfway through its period?
y=cos(x)
Which function begins and ends at the midline, and passes through the midline halfway through its period?
y=sin(x)
What graph is this?
 
y= -2cos(2x)
 
y= -2sin(2x)
 
y= 2sin(2x)
 
y= 2cos(2x)
What graph is this?
 
y=3sin(x)
 
y=3cos(x)
 
y= -3sin(x)
 
y= -3cos(x)
What graph is this?
 
y=sec(1/2x)
 
y=csc(x)
 
y=-sec(x)
 
y=csc(2x)
What graph is this?
 
y=-csc(x)
 
y=-sec(x)
 
y=sec(1/2x)
 
y=csc(x)
What graph is this?
 
y=cos(1/2x)
 
y=2cos(x)
 
y=cos(2x)
 
y=cos(x)
What graph is this?
 
y=sin(2x)
 
y=2sin(x)
 
y=sin(1/2x)
 
y=sin(x)
Determine the period: y = -3cot(1/3x)
3Ï€
Determine the period y = 5tan(2x)
Ï€/2
Determine the period: y= -csc(5x) -11
2Ï€/5
Determine the period: y=7cos(1/4x)
8Ï€
Determine the period: y=sin(3x)
2Ï€/3
What graph is this?
 
y= - cot(x)
 
y=cot(x)
 
y=tan(x)
 
y = - tan(x)
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