Question

Convert theta = 3pi/4 to rectangular form

Answer 1

Ф = 3π/4. Transform it into Rectangular (or Cartesian) form .

The coordinates of Ф are x ,y  in rectangular form ==> so:

tan(Ф) = y/x and y=x . tan(Ф) ==> y= x. tan(3π/4). we know that tan(3π/4)= - 1

Hence y = - x

Answer 2

Answer:

Here,

Theta is Replaced by Angle A.

$A=\frac{3\pi }{4}$

Suppose any point on the two dimensional coordinate plane is (r,A).

Where A is angle made by line with positive direction of x axis and r is distance from Origin to that point.

Projection of point on X and Y axis  and then converting to Rectangular form

$x=r Cos A, y=r Sin A\\\\ \frac{y}{x}=\frac{Sin A}{CosA}\\\\ y= x tan A\\\\ y=x* tan{\frac{3\pi}{4}$

$y=x \times (-1)\\\\ y=-x$

→y= - x

is representation in Rectangular form of $theta=\frac{3\pi }{4}$