r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
One day has 24 hours.
One hour has 60 minutes.
One day has 24 x 60 = 1440 minutes.
1 yard is 3 feet.
150 yards x 3 = 450 feet.
150 yards per minute = 450 feet per minute.
450 x 1440 = 648,000 feet per day.
X - the first numberx + 13 - the second number
The equation:
x + x + 13 = 152x + 13 = 15 |-132x = 2 |:2x = 1
x + 13 = 1 + 13 = 14
Answer: 1 and 14
Answer: Is there a description box maybe vocab words
if so pls comment and i will give answer if answerable hence down in comment section.
Step-by-step explanation:
Answer: -2/3
Step-by-step explanation:
