Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

**The unit circle is graphed in the figure below. Use the figure to find the terminal point determined by the real number $t$ , with coordinates rounded to one decimal place.**
$t = 1$

The terminal point determined by the real number $t$ , with coordinates rounded to one decimal place $(0.5, 0.8)$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the definition of the terminal point on the unit circle.

Starting at the point $(1, 0)$ , if $t \geq 0$ , then $t$ is the distance along the unit circle in clockwise direction and if $t < 0$ , then $|t|$ is the distance along the unit circle in clockwise direction. Here, $t$ is a real number and this distance generates a point $P (x, y)$ on the unit circle. The point $P (x, y)$ obtained in this way is called the terminal point determined by the real number $t$ .

Step 2. Use the figure to find the terminal point determined by the real number t.

Draw the coordinate corresponding to $t = 1$ .

Since given point on circle lies in the first quadrant, therefore both $x$ -axis and $y$ -axis are positive and can be approximated to $(0.5, 0.8)$ .

Step 3. Verify the terminal point.

Note that for the given point on the unit circle $\cos t = x$ and $\sin t = y$ where $(x, y)$ is the terminal point to real number $t$ .

Therefore,

$\begin{matrix} \cos (1) = 0.540 \\ \approx 0.5 \end{matrix}$

And,

$\begin{matrix} \sin (1) = 0.841 \\ \approx 0.8 \end{matrix}$

Hence, terminal point determined by the real number $t$ , with coordinates rounded to one decimal place $(0.5, 0.8)$ .

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Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

**The unit circle is graphed in the figure below. Use the figure to find the terminal point determined by the real number $t$ , with coordinates rounded to one decimal place.**
$t = 1$

Step by Step Solution

Step 1. State the definition of the terminal point on the unit circle.

Step 2. Use the figure to find the terminal point determined by the real number t.

Step 3. Verify the terminal point.

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Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

The unit circle is graphed in the figure below. Use the figure to find the terminal point determined by the real number t, with coordinates rounded to one decimal place.t=1

Step by Step Solution

Step 1. State the definition of the terminal point on the unit circle.

Step 2. Use the figure to find the terminal point determined by the real number t.

Step 3. Verify the terminal point.

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**The unit circle is graphed in the figure below. Use the figure to find the terminal point determined by the real number $t$ , with coordinates rounded to one decimal place.**
$t = 1$