Question

Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if necessary), of the terminal side through that point, 0≤ θ <360

P=-√2/3,√2/1

Answer 1

To find the angle of the terminal side through the given point on the unit circle, use the inverse tangent function. The angle will be approximately 330 degrees.

Step-by-step explanation:

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse tangent function. The point (P) is (-√2/3, √2/1). To find the angle, we take the inverse tangent of the y-coordinate divided by the x-coordinate.

So, angle θ = tan-1(√2/1 / -√2/3) = tan-1(-√2/√6) = -30 degrees (approximately)

However, angles are defined as positive in the counter clockwise direction, so the angle is actually 360 - 30 = 330 degrees (approximately).