Tangent, Cotangent, Secant & Cosecant Graphs

Determine an equation for this graph:

• y=sec(x)
• y=2sec(x)
• y=2csc(x)
• y= csc(2x)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

What trigonometric functions have vertical asymptotes?

• cotangent

• secant

• cosecant

• none listed here

Determine an equation for this graph:

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Choose the correct equation for the graph.

• $y=\cot\left(x\right)$

• $y=\sec\left(x\right)$

• $y=\csc\left(x\right)$

• $y=\tan\left(x\right)$

• $y=\cos\left(x\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

What is the amplitude of $y=6\tan(7x)-2$  ?

• 7

• -2

• 3

• 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.B.5

What trigonometric functions have vertical asymptotes?

• sine

• cosine

• tangent

• none listed here

Where is the midline for $y=4\cot(\ \frac{1}{3}\ x+\frac{\pi}{6})+2$  ?

• 1/3

• -2

• +2

• 4

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5

What is the period length of $y=\tan x$  ? 

• π

• 2π

• -2π

• π+1

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

What is the value of D if the function above is in the form $f(x)=A\tan\left(Bx+C\right)+D$  ?

• -2

• -1

• 0

• 1

• 2

Tags

CCSS.HSF.TF.B.5

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

Tags

CCSS.HSF-IF.C.7E