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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q.10 (page 380)

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

Short Answer

Expert verified

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

Step by step solution

01

Given information

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

02

Evaluate

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

Find $\cos 胃, \sin 胃$ at $胃 = \frac{蟺}{3}$ .

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

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

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Most popular questions from this chapter

Convert each angle in degrees to radians. Express your answer as a multiple of $蟺$ .

$- 90 掳$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $胃$ . Find the missing quantity. Round answers to three decimal places.

$胃 = \frac{1}{3}$ radian, $s = 2$ feet , $r = ?$

Find the exact value of each expression. Do not use a calculator.

$2 \sin \frac{蟺}{4} + 3 \tan \frac{蟺}{4}$

The domain of the function $f (x) = \frac{x + 1}{2 x + 1}$ is _______.

graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

$y = 3 c o t (\frac{1}{2} x) - 2$

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