Question

if polar co ordinate of a point are (2, Pi/4) then its certesian co ordinate are=​

Answer 1

Answer:

Cartesian Co-ordinate = (2/√2, 2/√2)

Step-by-step explanation:

If we have, Polar Coordinates (r,θ)

Then Cartesian Coordinates (x,y) will be

(x, y) = ( r × cosθ, r × sinθ)

GIVEN:

(r,θ) = (2,pi/4)

So, r = 2

θ = pi/4 = (180/4)° = 45°

Then,

x = r × cosθ = 2 × cos45° = 2 × (1/√2 )

= 2/√2

y = r × sinθ) = 2 × sin45° = 2 × (1/√2 )

= 2/√2

So,

(x, y) = (2/√2, 2/√2)

This is the required answer.

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