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5.6 Day 2 - Graphs of Tangent & Cotangent

Total questions: 14

Worksheet time: 13mins

Name
Class
Date
1.

Which function is graphed?

a)

TANGENT

b)

COTANGENT

2.

What is the amplitude of the equation:

y = -3cot(x)

a)

-3

b)

3

c)

π

d)

1

3.

What is the period of the function y=tan3/4θ

a)

3π/4

b)

8π/3

c)

4π/3

d)

2π/3

4.

What is the period length of y=tanx

a)

π

b)

c)

-2π

d)

π+1

5.
What does a negative A value cause?
a)
A negative amplitude
b)
A reflection across the Y axis
c)
No effect
d)
A reflection across X axis
6.

What is the period?

a)

1/2pi

b)

2

c)

1 up

d)

2pi

7.

Which trig function is shown?

a)

sine (sin)

b)

cosine (cos)

c)

tangent (tan)

d)

cotangent (cot)

8.

Choose the correct equation for the graph.

a)

y=cot(x)y=\cot\left(x\right)

b)

y=sec(x)y=\sec\left(x\right)

c)

y=csc(x)y=\csc\left(x\right)

d)

y=tan(x)y=\tan\left(x\right)

e)

y=cos(x)y=\cos\left(x\right)

9.

What trigonometric functions have vertical asymptotes?

a)

sine

b)

cosine

c)

tangent

d)

none listed here

10.

What function is graphed here?

a)

cotangent

b)

secant

c)

cosecant

d)

not listed here

11.

Write the equation for a tangent function with an amplitude of 6 and a period of π/4.

a)

y=6tan(8x)

b)

y=6tan(4x)

c)

y=6tan1/4x

d)

y=6tanx

12.

what is the amplitude of y=3tan(7x)

a)

7

b)

-2

c)

3

d)

6

13.

What is the period of y=4tan5x

a)

π/5

b)

π

c)

5

d)

5π

e)

2π/5

14.

Let f(x) = 3 cot(4t). What is the period of f(x)?

a)

π/2

b)

c)

π/4

d)

π