Question

B) On one rectangular coordinate system, show approximate radian values for one circle, as

Answer 1

Answer:

(See explanation below for further details)

Step-by-step explanation:

Any point in rectangular form can be described in terms of radius and angle of the circle. That is:

$P = (r\cdot \cos \theta, r\cdot \sin \theta)$

Since circunference is divided into 8 equal parts, the point can be modelled as:

$P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )$

The approximate radian and degree values for one circle are:

Radians

$0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)$

Degrees

$0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}$