SOLUTION: Convert the point P(2,45°) to its equivalent rectangular coordinates. For answers with radical sign, write “sqrt” (e.g. for P(square root of 3, 1), write P(sqrt 3, 1))

Algebra ->  Linear-equations -> SOLUTION: Convert the point P(2,45°) to its equivalent rectangular coordinates. For answers with radical sign, write “sqrt” (e.g. for P(square root of 3, 1), write P(sqrt 3, 1))      Log On


   



Question 1173206: Convert the point P(2,45°) to its equivalent rectangular coordinates. For answers with radical sign, write “sqrt” (e.g. for P(square root of 3, 1), write P(sqrt 3, 1))
Found 2 solutions by ewatrrr, Solver92311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
P(2,45°) to P(x,y)
Polar coordinate P(r, θ ) r+=+sqrt%28x%5E2+%2B+y%5E2%29+
P(2,45°): r = 2 and θ = 45°
P(x,y) = P(rcosθ , rsinθ)= P(2cos45°, 2sin45°)= P(2(√2/2), 2(√2/2)) = P(√2,√2)
r = sqrt(2 + 2) = 2 Answers check.
This (cosx, sinx) wheel a quick reference.
.

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Polar coordinates translate to rectangular coordinates by using and. Just do the arithmetic.

John

My calculator said it, I believe it, that settles it

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