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Mathematics 5 Online
OpenStudy (anonymous):

Find the point on the terminal side of θ = pi divided by four that has an x coordinate of 2. Show your work for full credit.

jimthompson5910 (jim_thompson5910):

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OpenStudy (anonymous):

@LordVictorius if i am not wrong it seems u want to convert polar to cartesiasn (r, θ) then use x=rcos θ and y =rsin θ here r=2 and θ=pi/4 if it is so then reqd point is (2cos(pi)/4,2sin(pi)/4)=(sqrt(2),sqrt(2))

OpenStudy (anonymous):

I don't understand what that means.

OpenStudy (anonymous):

What is Cartesian?

OpenStudy (abb0t):

Cartesian means in terms of x and y. Polar means in terms of r and theta.

OpenStudy (anonymous):

Okay, and whay is r and theta? Sorry, not too good at this.

OpenStudy (anonymous):

i think it is much easier than this

OpenStudy (anonymous):

θ is this theta?

OpenStudy (abb0t):

Yes it is, victorius.

OpenStudy (anonymous):

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OpenStudy (anonymous):

2=y?

OpenStudy (anonymous):

y=r?

OpenStudy (anonymous):

both angles are equal, sides are therefore equal because you have an isosceles triangle

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

so if \(x=2\) then \(y=2\) halas

OpenStudy (anonymous):

if you need the hypotenuse, it is \(2\sqrt2\) by pythagoras

OpenStudy (anonymous):

I'm not sure what I need to find, that's why I posted this.

OpenStudy (anonymous):

It says, "Find the point on the terminall side..."

OpenStudy (anonymous):

What is that?

OpenStudy (anonymous):

the \(x\) value and the \(y\) value are both 2, so the point on the terminal side is \((2,2)\)

OpenStudy (anonymous):

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