Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Express in radians
4
8
∘
3
7
′
3
0
′
′
48^\circ 37' 30''
4
8
∘
3
7
′
3
0
′′
View step-by-step help
Home
Math Problems
Precalculus
Convert between radians and degrees
Full solution
Q.
Express in radians
4
8
∘
3
7
′
3
0
′
′
48^\circ 37' 30''
4
8
∘
3
7
′
3
0
′′
Convert to Decimal Degrees:
Convert degrees, minutes, and seconds to decimal degrees.
\newline
4
8
∘
3
7
′
3
0
′
′
=
48
+
37
60
+
30
3600
=
48.62
5
∘
48^\circ 37' 30'' = 48 + \frac{37}{60} + \frac{30}{3600} = 48.625^\circ
4
8
∘
3
7
′
3
0
′′
=
48
+
60
37
+
3600
30
=
48.62
5
∘
.
Convert to Radians:
Convert decimal degrees to radians using the formula
θ
radians
=
θ
degrees
×
(
π
/
180
)
\theta \text{ radians} = \theta \text{ degrees} \times (\pi/180)
θ
radians
=
θ
degrees
×
(
π
/180
)
.
\newline
48.62
5
∘
×
(
π
/
180
)
≈
0.8481
radians
.
48.625^\circ \times (\pi/180) \approx 0.8481 \text{ radians}.
48.62
5
∘
×
(
π
/180
)
≈
0.8481
radians
.
More problems from Convert between radians and degrees
Question
Find all solutions with
0
∘
≤
θ
≤
18
0
∘
0^\circ \leq \theta \leq 180^\circ
0
∘
≤
θ
≤
18
0
∘
. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.
\newline
cos
(
θ
)
=
−
1
\cos(\theta) = -1
cos
(
θ
)
=
−
1
\newline
‾
∘
\underline{\hspace{2em}}^\circ
∘
Get tutor help
Posted 1 year ago
Question
Kimi's school is
15
15
15
kilometers west of her house and
8
8
8
kilometers south of her friend Franklin's house. Every day, Kimi bicycles from her house to her school. After school, she bicycles from her school to Franklin's house. Before dinner, she bicycles home on a bike path that goes straight from Franklin's house to her own house. How far does Kimi bicycle each day?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kilometers
Get tutor help
Posted 1 year ago
Question
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.
\newline
cos
3
5
∘
=
\cos 35^\circ =
cos
3
5
∘
=
__
Get tutor help
Posted 1 year ago
Question
Find all solutions with
−
9
0
∘
≤
θ
≤
9
0
∘
-90^\circ \leq \theta \leq 90^\circ
−
9
0
∘
≤
θ
≤
9
0
∘
. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.
\newline
csc
(
θ
)
=
−
1
\csc(\theta) = -1
csc
(
θ
)
=
−
1
\newline
_
_
_
_
∘
\_\_\_\_\,^\circ
____
∘
Get tutor help
Posted 1 year ago
Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.
\newline
cot
3
0
∘
=
\cot 30^\circ =
cot
3
0
∘
=
______
Get tutor help
Posted 1 year ago
Question
The terminal side of an angle
θ
\theta
θ
in standard position intersects the unit circle at
(
84
85
,
13
85
)
(\frac{84}{85}, \frac{13}{85})
(
85
84
,
85
13
)
. What is
cos
(
θ
)
\cos(\theta)
cos
(
θ
)
?
\newline
Write your answer in simplified, rationalized form.
\newline
______
Get tutor help
Posted 1 year ago
Question
−
9
0
∘
<
θ
<
9
0
∘
-90^\circ < \theta < 90^\circ
−
9
0
∘
<
θ
<
9
0
∘
. Find the value of
θ
\theta
θ
in degrees.
\newline
tan
(
θ
)
=
0
\tan(\theta) = 0
tan
(
θ
)
=
0
\newline
Write your answer in simplified, rationalized form. Do not round.
\newline
θ
=
\theta =
θ
=
____
∘
^\circ
∘
\newline
Get tutor help
Posted 1 year ago
Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.
\newline
csc
6
0
∘
=
\csc 60^\circ =
csc
6
0
∘
=
______
Get tutor help
Posted 1 year ago
Question
θ
\theta
θ
is an acute angle. Find the value of
θ
\theta
θ
in degrees.
\newline
sec
(
θ
)
=
2
\sec(\theta) = \sqrt{2}
sec
(
θ
)
=
2
\newline
θ
=
\theta =
θ
=
____
°
\degree
°
Get tutor help
Posted 1 year ago
Question
Evaluate. Write your answer in simplified, rationalized form. Do not round.
\newline
cos
9
0
∘
=
\cos 90^\circ =
cos
9
0
∘
=
____
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant