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AVprozaik [17]
3 years ago
9

Write -3r+3u in polar form PLEASE HELP

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
We have that
<span> -3r+3u
</span>
Step 1
<span>Use the distance formula to find the radius
</span><span>r = √(x^2 + y^2)
 (x,y)----------> (</span>-3,3)
r= √(-3^2 + 3^2)=√18=3√2

Step 2
Use the tangent to find the angle  
θ = arctan(y/x)  
θ = arcTan(3/-3)= -45°-------> II Quadrant
then 
θ=180-45=135°

Step 3 
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)

the answer is (3√2, 135°)
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