Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 2
Reference angles
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
30
8
∘
)
\cos \left(308^{\circ}\right)
cos
(
30
8
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
sin
(
30
9
∘
)
\sin \left(309^{\circ}\right)
sin
(
30
9
∘
)
\newline
sin
(
□
∘
)
\sin \left(\square^{\circ}\right)
sin
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
tan
(
22
5
∘
)
\tan \left(225^{\circ}\right)
tan
(
22
5
∘
)
\newline
tan
(
□
∘
)
\tan \left(\square^{\circ}\right)
tan
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
sin
(
33
2
∘
)
\sin \left(332^{\circ}\right)
sin
(
33
2
∘
)
\newline
sin
(
□
∘
)
\sin \left(\square^{\circ}\right)
sin
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
13
0
∘
)
\cos \left(130^{\circ}\right)
cos
(
13
0
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
15
4
∘
)
\cos \left(154^{\circ}\right)
cos
(
15
4
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
sin
(
21
8
∘
)
\sin \left(218^{\circ}\right)
sin
(
21
8
∘
)
\newline
sin
(
□
∘
)
\sin \left(\square^{\circ}\right)
sin
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
32
6
∘
)
\cos \left(326^{\circ}\right)
cos
(
32
6
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
cos
(
30
5
∘
)
\cos \left(305^{\circ}\right)
cos
(
30
5
∘
)
\newline
cos
(
□
∘
)
\cos \left(\square^{\circ}\right)
cos
(
□
∘
)
Get tutor help
Express as a function of a DIFFERENT angle,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
tan
(
9
8
∘
)
\tan \left(98^{\circ}\right)
tan
(
9
8
∘
)
\newline
tan
(
□
∘
)
\tan \left(\square^{\circ}\right)
tan
(
□
∘
)
Get tutor help
d
y
d
x
=
y
4
\frac{d y}{d x}=y^{4}
d
x
d
y
=
y
4
and
y
(
2
)
=
−
1
y(2)=-1
y
(
2
)
=
−
1
\newline
y
(
−
1
)
=
y(-1)=
y
(
−
1
)
=
Get tutor help
What is the value of the expression below when
y
=
4
y=4
y
=
4
?
\newline
5
y
2
−
5
y
+
5
5 y^{2}-5 y+5
5
y
2
−
5
y
+
5
\newline
Answer:
Get tutor help
2
7
2
=
1
7
2
+
o
2
−
2
(
17
)
(
o
)
cos
(
62
)
27^2 = 17^2 + o^2 -2(17)(o)\cos(62)
2
7
2
=
1
7
2
+
o
2
−
2
(
17
)
(
o
)
cos
(
62
)
find
o
o
o
Get tutor help
Simplify.
\newline
Rewrite the expression in the form
y
n
y^{n}
y
n
.
\newline
y
5
y
3
=
\frac{y^{5}}{y^{3}}=
y
3
y
5
=
Get tutor help
Using implicit differentiation, find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
.
\newline
x
3
y
4
−
4
x
y
2
=
4
x
+
6
x^{3} y^{4}-4 x y^{2}=4 x+6
x
3
y
4
−
4
x
y
2
=
4
x
+
6
Get tutor help
x
y
=
−
4
+
x
y
3
\sqrt{x y}=-4+x y^{3}
x
y
=
−
4
+
x
y
3
Get tutor help
Is
8
\sqrt{8}
8
an irrational number?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Rotate and find the reference angle for
8
1
∘
81^{\circ}
8
1
∘
.
Get tutor help
Rotate and find the reference angle for
32
1
∘
321^{\circ}
32
1
∘
.
Get tutor help
tg
6
7
∘
−
ctg
8
3
∘
1
+
tg
6
7
∘
ctg
8
3
∘
=
\frac{\operatorname{tg} 67^{\circ}-\operatorname{ctg} 83^{\circ}}{1+\operatorname{tg} 67^{\circ} \operatorname{ctg} 83^{\circ}}=
1
+
tg
6
7
∘
ctg
8
3
∘
tg
6
7
∘
−
ctg
8
3
∘
=
Get tutor help
OPT Mathematics (OPT - I) - (Class -
9
9
9
)/
465
465
465
\newline
If a set
A
A
A
has
3
3
3
elements and set
B
B
B
has
5
5
5
elements, how many ordered pairs are there in
A
\mathrm{A}
A
×
\times
×
B? Ans:
15
15
15
Get tutor help
Which pair of angles are supplementary?
\newline
A)
6
9
∘
69^{\circ}
6
9
∘
and
13
3
∘
133^{\circ}
13
3
∘
\newline
B)
10
6
∘
106^{\circ}
10
6
∘
and
7
4
∘
74^{\circ}
7
4
∘
\newline
C)
4
4
∘
44^{\circ}
4
4
∘
and
12
9
∘
129^{\circ}
12
9
∘
\newline
D)
9
7
∘
97^{\circ}
9
7
∘
and
9
3
∘
93^{\circ}
9
3
∘
\newline
E)None of these are correct.
Get tutor help
2
a
−
1
=
a
−
8
\sqrt{2a-1}=a-8
2
a
−
1
=
a
−
8
Get tutor help
cos
9
0
∘
\cos 90^{\circ}
cos
9
0
∘
Get tutor help
Find the least positive coterminal angle to
\newline
−
114
0
∘
-1140^\circ
−
114
0
∘
.
\newline
Possible Answers:
\newline
30
0
∘
300^\circ
30
0
∘
\newline
42
0
∘
420^\circ
42
0
∘
\newline
−
78
0
∘
-780^\circ
−
78
0
∘
\newline
6
0
∘
60^\circ
6
0
∘
Get tutor help
\newline
Find
(
f
∘
g
)
(
−
4
)
(f \circ g)(-4)
(
f
∘
g
)
(
−
4
)
for the following functions.
\newline
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
x
2
f(x)=4 x-2 \text { and } g(x)=x^{2}
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
x
2
\newline
Answer
\newline
How to enter your answer (opens in new window)
\newline
(
f
∘
g
)
(
−
4
)
=
(f \circ g)(-4)=
(
f
∘
g
)
(
−
4
)
=
Get tutor help
d
(
f
∘
g
)
(
−
4
)
(f \circ g)(-4)
(
f
∘
g
)
(
−
4
)
for the following functions.
\newline
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
x
2
f(x)=4 x-2 \text { and } g(x)=x^{2}
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
x
2
\newline
nswer
\newline
ow to enter your answer (opens in new window)
\newline
(
f
∘
g
)
(
−
4
)
=
(f \circ g)(-4)=
(
f
∘
g
)
(
−
4
)
=
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
118
0
∘
1180^{\circ}
118
0
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
109
2
∘
1092^{\circ}
109
2
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
91
3
∘
913^{\circ}
91
3
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
−
74
7
∘
-747^{\circ}
−
74
7
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
90
2
∘
902^{\circ}
90
2
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
76
5
∘
765^{\circ}
76
5
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
75
1
∘
751^{\circ}
75
1
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
−
52
0
∘
-520^{\circ}
−
52
0
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
Find an angle
θ
\theta
θ
coterminal to
104
3
∘
1043^{\circ}
104
3
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
Get tutor help
tan
x
=
−
1
3
\tan x = -\frac{1}{\sqrt{3}}
tan
x
=
−
3
1
Get tutor help
Fully simplify.
\newline
(
2
x
5
−
y
5
)
2
\left(2 x^{5}-y^{5}\right)^{2}
(
2
x
5
−
y
5
)
2
\newline
Answer:
Get tutor help
Fully simplify.
\newline
(
4
x
5
−
y
5
)
2
\left(4 x^{5}-y^{5}\right)^{2}
(
4
x
5
−
y
5
)
2
\newline
Answer:
Get tutor help
Fully simplify.
\newline
(
4
x
5
−
y
4
)
2
\left(4 x^{5}-y^{4}\right)^{2}
(
4
x
5
−
y
4
)
2
\newline
Answer:
Get tutor help
Fully simplify using only positive exponents.
\newline
15
x
4
y
2
3
x
y
4
\frac{15 x^{4} y^{2}}{3 x y^{4}}
3
x
y
4
15
x
4
y
2
\newline
Answer:
Get tutor help
Find
t
t
t
.
5
13
=
t
−
6
13
\dfrac{5}{13}=t-\dfrac{6}{13}
13
5
=
t
−
13
6
Get tutor help
s positive.
\newline
99
x
12
25
y
12
\sqrt{\frac{99 x^{12}}{25 y^{12}}}
25
y
12
99
x
12
Get tutor help
g
(
x
)
=
−
1
5
(
x
+
5
)
2
−
2
g(x)=-\frac{1}{5}(x+5)^2-2
g
(
x
)
=
−
5
1
(
x
+
5
)
2
−
2
Get tutor help
x
2
+
3
+
9
−
x
2
=
x^{2}+3+9-x^{2}=
x
2
+
3
+
9
−
x
2
=
Get tutor help
Find
d
y
d
x
\frac{d y}{d x}
d
x
d
y
where
y
=
csc
−
1
(
2
x
4
+
6
)
y=\csc ^{-1}\left(2 x^{4}+6\right)
y
=
csc
−
1
(
2
x
4
+
6
)
.
Get tutor help
Fully simplify using only positive exponents.
\newline
30
x
3
y
7
12
x
4
y
4
\frac{30 x^{3} y^{7}}{12 x^{4} y^{4}}
12
x
4
y
4
30
x
3
y
7
\newline
Answer:
Get tutor help
Factor the expression completely.
\newline
x
y
5
−
x
3
y
4
x y^{5}-x^{3} y^{4}
x
y
5
−
x
3
y
4
\newline
Answer:
Get tutor help
Factor the expression completely.
\newline
x
3
y
5
−
x
5
x^{3} y^{5}-x^{5}
x
3
y
5
−
x
5
\newline
Answer:
Get tutor help
(
4
11
)
(
4
−
8
)
=
(4^{11})(4^{-8})=
(
4
11
)
(
4
−
8
)
=
Get tutor help
Previous
1
2
3
Next