Convert the equation to polar form.
8x=8y
So far, I got this: 8*rcosθ = 8*rsinθ
But it's wrong.
2 answers
Please recheck, and check once more with a calculator. Come back to me if it is still incorrect. Remember, I will check your answers and help you, but I shall not give away the answer. Good day Jim.
8cosθ = 8sinθ is ok
then:
cosθ = sinθ
sinθ/cosθ = 1
tanθ = 1
θ = π/4
so our equation would simply be
θ = π/4
we have a similar situation for a vertical line in our x-y system
a vertical line would have the form x = k , no mention is made of the y, since the y
can be any value.
Similarly here, by saying θ = π/4 , we say that r can be any length as long
as our angle is 45°. That will give us the straight line y = x
then:
cosθ = sinθ
sinθ/cosθ = 1
tanθ = 1
θ = π/4
so our equation would simply be
θ = π/4
we have a similar situation for a vertical line in our x-y system
a vertical line would have the form x = k , no mention is made of the y, since the y
can be any value.
Similarly here, by saying θ = π/4 , we say that r can be any length as long
as our angle is 45°. That will give us the straight line y = x
3 answers