33-36= Find the reference number for each value of t (a) t=(5 π)/(4) (b) t=(7 π)/(3)

Name: Problem 33, Chapter 7: Algebra and Trigonometry
Uploaded: 2020-09-14T19:23:05-08:00
Duration: 1 min 41 s
Channel: Anna Jones
Description: 33-36= Find the reference number for each value of t (a) t=(5 π)/(4) (b) t=(7 π)/(3) (c) t=-(4 π)/(3) (d) t=(π)/(6)

step 1 All right, so keep in mind that the reference number is the shortest distance from pi. So if our

Question

$33-36=$ Find the reference number for each value of $t$ $$ \begin{array}{ll}{\text { (a) } t=\frac{5 \pi}{4}} & {\text { (b) } t=\frac{7 \pi}{3}} \\ {\text { (c) } t=-\frac{4 \pi}{3}} & {\text { (d) } t=\frac{\pi}{6}}\end{array} $$

   $33-36=$ Find the reference number for each value of $t$
$$
\begin{array}{ll}{\text { (a) } t=\frac{5 \pi}{4}} & {\text { (b) } t=\frac{7 \pi}{3}} \\ {\text { (c) } t=-\frac{4 \pi}{3}} & {\text { (d) } t=\frac{\pi}{6}}\end{array}
$$

Algebra and Trigonometry

James Stewart,… 2nd Edition

Chapter 7, Problem 33

Instant Answer

Solved by Expert Anna Jones

09/14/2020

Step 1

It is always positive and less than or equal to $\pi$. Show more…

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$33-36=$ Find the reference number for each value of $t$ $$ \begin{array}{ll}{\text { (a) } t=\frac{5 \pi}{4}} & {\text { (b) } t=\frac{7 \pi}{3}} \\ {\text { (c) } t=-\frac{4 \pi}{3}} & {\text { (d) } t=\frac{\pi}{6}}\end{array} $$

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Key Concepts

Coterminal Angles

Coterminal angles are angles that share the same terminal side when drawn in standard position. This concept is important for angles that fall outside the usual 0 to 2? range or are negative, as they can be converted into equivalent angles within a standard interval, allowing for easier determination of their reference angles.

Reference Angle

The reference angle is the smallest acute angle that the terminal side of a given angle makes with the x-axis. It is always measured as a positive angle (between 0 and ?/2 radians) and is used to simplify the calculation of trigonometric functions, since the functions of any angle can be related to those of its reference angle.

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