What are polar coordinates of (4,6)
1.Round r to nearest hundredth and theta to nearest hundredth of RADIAN
My work:
r^2 = x^ + y^2
r^2 = 4^2 + 6^2
r^2= 16 +36
r^ =52
r=7.21
I'm stuck on how to do theta in Radians, could you please assist
tan theta = 6/4 = 1.5
if your calculator does radians just do tan^-1 of 1.5
if it does degrees only then
tan^-1 1.5 = 56.3 degrees
56.3 * pi/190 = .98 radians
Thank you Damon-I reworked it on the calculator to make sure I knew what I was doing-thank you again for helping
Certainly! To find theta in radians, you can use the arctangent (or atan) function. The formula is:
θ = atan(y / x)
In this case, x = 4 and y = 6. So, substituting these values into the formula:
θ = atan(6 / 4)
Using a calculator or computer, you can find the approximate value of this expression. Make sure your calculator is set to radians mode. The result will be the value of theta in radians.