Chapter 6: Q.10 (page 380)

The point on the unit circle that corresponds to $θ = \frac{π}{3}$ is $P =$ ________.

Short Answer

Expert verified

The point on the unit circle that corresponds to $θ = \frac{π}{3}$ is $P = (\frac{1}{2}, \frac{\sqrt{3}}{2})$ .

Step by step solution

Given information

The main objective is to find the point on the unit circle at $θ = \frac{π}{3}$ .

Evaluate

The point on a unit circle that corresponds to $θ$ is defined as $(x, y) = (\cos θ, \sin θ)$ .

Find $\cos θ, \sin θ$ at $θ = \frac{π}{3}$ .

$\cos (\frac{π}{3}) = \frac{1}{2} \sin (\frac{π}{3}) = \frac{\sqrt{3}}{2}$

The point is $(\frac{1}{2}, \frac{\sqrt{3}}{2})$ .

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The point on the unit circle that corresponds to $θ = \frac{π}{3}$ is $P =$ ________.

Short Answer

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Given information

Evaluate

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The point on the unit circle that corresponds to θ=π3isP=________.

Short Answer

Step by step solution

Given information

Evaluate

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The point on the unit circle that corresponds to $θ = \frac{π}{3}$ is $P =$ ________.