Graphs of Sin, Cos, Tan, Cot, Sec, Csc

Name this graph.

• Sine
• Cosine
• Tangent
• Linear

Does the graph of sine have asymptotes?

• no
• yes, at multiples of π
• sometimes
• yes at multiples of 2π

Tags

CCSS.HSF-IF.C.7E

What are the vertical asymptotes for y = tan(x)?

• x = ... pi/2, 3pi/2, ....

• x = ... 0, pi, 2pi, ....

• There are no vertical asymptotes.

• x = infinity, x = - infinity

What is an asymptote?

• the point where the function crosses the x-axis

• the highest point on the function

• a value which the function approaches, but never touches

• a horizontal line that intersects the function

Tags

CCSS.HSF-IF.C.7D

Sine or Cosine?

• y=sinx
• y=cosx

Tags

CCSS.HSF-IF.C.7E

Which equation?

• y= sin(1/3x)
• y= (1/3)sinx
• y= 3sinx
• y= sin(3x)

Tags

CCSS.HSF-IF.C.7E

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

Tags

CCSS.HSF-IF.C.7E

The __________ represents half the distance between the max and min of a sine or cosine graph. 

• Period
• Frequency
• Extreme Values
• Amplitude

Tags

CCSS.HSF-IF.C.7E

Determine an equation for this graph:

• y=csc(x)
• y=sec(x)
• y=cot(x)
• y= tan(x)

The period of a function is

• the length of one full cycle

• how high and low the function goes from the center line

• the range of the function