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harina [27]
2 years ago
12

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

Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0

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}

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