WorksheetsTrig Identities
Total questions: 21
Worksheet time: 26mins
Name
Class
Date
1.
Please select the correct solution
cos 2 x + sin 2 x=
cos 2 x + sin 2 x=
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
2.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
3.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
4.
Simplify (Hint: you will need to FOIL first)
a)
sinθ
b)
cot²θ
c)
tan²θ
d)
cos²θ
5.
Simplify: tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
6.
Solve the following for cos2θ:
sin2θ + cos2θ = 1
sin2θ + cos2θ = 1
a)
cos2θ = 1 - sin2θ
b)
cosθ = 1 + sin2θ
c)
cosθ = 1 - sinθ
d)
cos2θ = Adj/hyp
7.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
8.
Verify the following
a)
(1 + cosx) / (cos x)
b)
(1) / (sin x)
c)
(1 + sinx) / (sin x)
d)
(sinx) / (sin x)
9.
What would be a step to prove the following:
a)
(1)(1)
b)
(1/tanx)(tanx/1)
c)
(sinx/cosx)(cosx/sinx)
d)
(cosx/sinx)(sinx/cosx)
10.
sin(90 - u)
a)
sec(u)
b)
cos(u)
c)
tan(u)
d)
csc(u)
e)
cot(u)
11.
cos(90 - u)
a)
sec(u)
b)
csc(u)
c)
tan(u)
d)
sin(u)
e)
cot(u)
12.
a)
-1
b)
sin θ
c)
csc θ
d)
1
13.
a)
1/cos x
b)
1
c)
cot x
d)
-1
14.
Simplify sin2(x) - cos(x)sec(x)
a)
sec2(x)
b)
cos2(x)
c)
-cos2(x)
d)
-sec2(x)
15.
Simplify sin2(x) - cos(x)sec(x)
a)
sec2(x)
b)
cos2(x)
c)
-cos2(x)
d)
-sec2(x)
16.
which function(s) are even
a)
cos(x)
b)
sec(-x)
c)
tan(-x)
d)
sin(-x)
17.
is this an even or odd function
a)
even
b)
odd
c)
neither
18.
what function is this and is it even or odd
a)
sin, odd
b)
sin, even
c)
cos, odd
d)
cos, even
19.
sec(-x) = sec(x)
a)
true
b)
false
20.
sin(-x) = sin(x)
a)
true
b)
false
21.
even functions:
a)
f(-x) = f(x)
b)
f(-x) = -f(x)
100 %
