Question

If (1,45degree) are polar co-ordinates of a point then it's
cartesian co-ordinates are ...​

Answer 1

Answer:

If (1,45degree) are polar co-ordinates of a point then it's

cartesian co-ordinates are ...the Polar coordinate

(

1

,

45

0

)

=

(

r

,

θ

)

now

x

=

r

cos

θ ji

y

=

r

sin

θ

∴

x

=

1

×

cos

45

=

√

2

2

y

=

1

×

sin

45

=

√

2

2

(

x

,

y

)

=

(

√

2

2

,

√

2

2

)

Step-by-step explanation:

the Polar coordinate

(

1

,

45

0

)

=

(

r

,

θ

)

now

x

=

r

cos

θ

y

=

r

sin

θ

∴

x

=

1

×

cos

45

=

√

2

2

y

=

1

×

sin

45

=

√

2

2

(

x

,

y

)

=

(

√

2

2

,

√

2

2

)

Answer 2

Answer:

x, y = ( $\frac{\sqrt{2} }{2} , \frac{\sqrt{2} }{2}$ )

Step-by-step explanation:

When every factor on a aircraft of a two-dimensional coordinate gadget is determined via way of means of a distance from a reference factor and an attitude is taken from a reference direction, it's miles referred to as the polar coordinate gadget.

Pole = The reference factor

Polar axis = the road phase ray from the pole withinside the reference direction

In the polar coordinate gadget, the beginning is known as a pole.

the Polar coordinate

(1,45⁰)=(r,Ф)

now

x= r cos Ф

y= r sin Ф

x = 1 x cos 45 =$\frac{\sqrt{2} }{2}$

y = 1 x sin 45 = $\frac{\sqrt{2} }{2}$

there fore

x, y = ( $\frac{\sqrt{2} }{2} , \frac{\sqrt{2} }{2}$  )

To know more about polar coordinates refer :

https://brainly.com/question/11657509

https://brainly.com/question/25360680

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