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))

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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)   (Show Source): You can put this solution on YOUR website!


Hi  

P(2,45°)  to P(x,y)

Polar coordinate P(r, θ )  

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)   (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





From  

I > Ø

 

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