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Quarter 4: MATH (Module 2)

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.
Determine an equation for this graph:
a)
y=sec(x)
b)
y=2sec(x)
c)
y=2csc(x)
d)
y= csc(2x)
2.
Which trig function does this graph represent?
a)
sin
b)
sec
c)
tan
d)
cot
3.
Determine an equation for this graph:
a)
y=csc(x)
b)
y=sec(x)
c)
y=cot(x)
d)
y= tan(x)
4.
Which function below matches this graph?
a)
2+sec(x)
b)
sec2(x)
c)
2sec(x)
d)
sec(x-2)
5.
Which function below matches this graph?
a)
sec2(x)
b)
sec(x)
c)
csc2(x)
d)
2-sec(x)
6.

What's the range of y = csc x ?

a)
b)
c)
d)
7.

What's the range of y = csc x ?

a)
b)
c)
d)
8.

Write an equation for the graph.

a)

y = 2sec(x)

b)

y = -2sec(x)

c)

y = 2csc(x)

d)

y = -2csc(x)

9.

What is the range of the graph?

a)

(-∞, ∞)

b)

(-∞, -2] ∪ [2, ∞)

c)

[ -2, 2]

d)

x / x ≠ π/2 + kπ

10.

Which parent function meets the following requirements?

a)

tangent

b)

cotangent

c)

secant

d)

cosecant

11.

Which parent functions have the given domain?

a)

tangent and cotangent

b)

secant and cosecant

c)

tangent and secant

d)

cotangent and cosecant

12.

Which two inverse trig functions have similar looking graphs?

a)

cosecant and cotangent

b)

secant and cotangent

c)

cosecant and secant

13.

Write an equation or the graph.

a)

y = 2sec(x)

b)

y = 3sec(x)

c)

y = 3sec(2x)

d)

y = 3csc(x)

e)

y = 3csc(2x)

14.
Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d?
a)
a
b)
b
c)
c
d)
d
15.

What is the period of this function?

a)


π4\frac{\pi}{4}

b)

π2\frac{\pi}{2}

c)

π\pi

d)

2π2\pi

16.
A trig function has an amplitude of 4 and a minimum value of 5.  What is its maximum value?
a)
7
b)
9
c)
11
d)
13
17.

What trigonometric functions have vertical asymptotes? Select all that apply.

a)

sine

b)

cosine

c)

tangent

d)

secant

e)

cosecant

18.

Which of the following is an asymptote for secant?

a)

x= π

b)

x = 3π / 2

c)

x = -2π

d)

x = 0

19.

Describe the zeros for cosecant.

a)

All real numbers

b)

Odd multiples of π / 2

c)

All multiples of π

d)

There are none

20.

If secθ>0\sec\theta>0  and  sinθ<0\sin\theta<0  then  θ\theta  must be in which quadrant?

a)

I

b)

II

c)

III

d)

IV

21.

Which of the following is NOT an example of an Expression?

a)

2 + 1

b)

sin x - cos x + 2

c)

9 = x

d)

4x - 3y

22.

Which of the following is NOT an Identity under Reciprocal Identity?

a)

cscθ = 1sinθ\csc\theta\ =\ \frac{1}{\sin\theta}

b)

secθ = 1cosθ\sec\theta\ =\ \frac{1}{\cos\theta}

c)

tanθ = sinθcosθ\tan\theta\ =\ \frac{\sin\theta}{\cos\theta}

d)

1 = cotθtanθ1\ =\ \cot\theta\tan\theta

23.

Which of the following is NOT true.

a)

Trigonometric Expressions are expressions that involves Trigonometric functions.

b)

Trigonometric Identities are used in proving Identities along with the skills in manipulating algebraic expressions.

c)

Proving Identity is same as solving Trigonometric Equztion.

d)

The fundamental identities may be proved using tRIGONOMETRIC fUNCTIONS.

24.


Simplify 1 + tan2θcsc2θSimplify\ \frac{1\ +\ \tan^2\theta}{\csc^2\theta}  

a)

cos2θ\cos^2\theta  

b)

sin2θ\sin^2\theta   

c)

tan2θ\tan^2\theta  

d)

11  

25.

Which of the following value will satisfy the given trigonometric equation?

3cos2x + sinx + 1 = 03\cos^2x\ +\ \sin x\ +\ 1\ =\ 0  

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees