convert polar equation into rectangular equation? theta= 4pi/3.
Confused kindly help
To convert a polar equation to a rectangular equation, you can use the following formulas:
x = r * cos(theta)
y = r * sin(theta)
In this case, you have the polar equation theta = 4pi/3.
Using the formula for x, you can substitute theta with 4pi/3:
x = r * cos(4pi/3)
Similarly, using the formula for y, you can substitute theta with 4pi/3:
y = r * sin(4pi/3)
These equations will give you the rectangular coordinates (x, y) corresponding to the given polar equation.
To convert a polar equation into a rectangular equation, you can use the following relationships:
x = r * cos(theta)
y = r * sin(theta)
The given polar equation is theta = 4pi/3.
To convert this equation into rectangular form, we need to substitute the values of x and y into the equation using the above relationships.
Substitute theta = 4pi/3 into the equation:
x = r * cos(4pi/3)
y = r * sin(4pi/3)
To find the values of x and y, we need the value of r. If the value of r is not given, we cannot directly convert the polar equation into a rectangular equation.
If you have the value of r, you can substitute it into the equations for x and y and simplify to get the rectangular equation.
since
y = rsinθ
x = rcosθ
tanθ = y/x = √3