Question

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The terminal point is (1.33,−2).

What is the angle's measure (in radians)?
θ=
​

Answer 1

5.3 or (4217pi/2500)

Explanation:

Create a right triangle with the coordinates provided.

We can ignore the negative sign and create the equation

`tan(x) = (1.33)/(2)`

x = 33.624

We then add 270 and x together because the coordinates are in the 4th quadrant.

angle = 303.624

To convert to radians, we multiply this number by pi/180

5.3 radians