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.
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@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))
I don't understand what that means.
What is Cartesian?
Cartesian means in terms of x and y. Polar means in terms of r and theta.
Okay, and whay is r and theta? Sorry, not too good at this.
i think it is much easier than this
θ is this theta?
Yes it is, victorius.
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2=y?
y=r?
both angles are equal, sides are therefore equal because you have an isosceles triangle
Yes.
so if \(x=2\) then \(y=2\) halas
if you need the hypotenuse, it is \(2\sqrt2\) by pythagoras
I'm not sure what I need to find, that's why I posted this.
It says, "Find the point on the terminall side..."
What is that?
the \(x\) value and the \(y\) value are both 2, so the point on the terminal side is \((2,2)\)
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