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Course Review - Trig Identities - Stinchcomb

Total questions: 20

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
2.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
3.
Please select the correct solution 
cos 2 x + sin 2 x=  
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
4.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
5.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
6.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
7.
Simplify
a)
secθ
b)
cos²θ
c)
sin²θ
d)
sin²θ/cos²θ
8.
Simplify:
(secx-1)(secx+1).  
a)
tan2x
b)
sinx
c)
cot2x
d)
cosx
9.
Simplify:  tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
10.
Is this a pythagorean identity?
tan2x + 1 = secx
a)
Yes
b)
No
11.
Verify the following.
tanB (cotB + tanB) = sec2B
a)
1+ tan2B
b)
sec2B
c)
cot2B
d)
tan2B
12.
What pair of trigonometric functions are both reciprocals and cofunctions?
a)
tan θ and cot θ
b)
sec θ and csc θ
c)
sin θ and cos θ
13.
What is the value of sin210ocos30o - cos210osin30o is
a)
0
b)
-1
c)
1
d)
sin240o
14.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
15.
5) tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
16.
a)
sinθ
b)
cos²θ
c)
sin²θ
d)
1- sin²θ
17.
a)
cos²x
b)
sin²x
c)
cot²x
d)
tan²x
18.
a)
csc x
b)
1/sec x
c)
1 + sec x
d)
sec x
19.
2) (cos2x-1)/(cos2x-cosx)
a)
sin2x
b)
(cosx+1)/cosx
c)
cotx+1
d)
Tanx-1
20.
5) tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x