/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 46 Sketch each angle in standard po... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 46

Sketch each angle in standard position. (a) \(90^{\circ}\) (b) \(180^{\circ}\)

Short Answer

Expert verified
The angle \(90^{\circ}\) in standard position has its terminal side along the positive y-axis, while the angle \(180^{\circ}\) in standard position has its terminal side along the negative x-axis.

Step by step solution

01

Understanding standard position

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The initial side of the angle is the ray on the positive x-axis, the other ray represents the terminal side.
02

Sketch angle \(90^{\circ}\)

The angle \(90^{\circ}\) in standard position starts with its initial side on the positive x-axis and rotates counterclockwise until it is vertical, pointing upwards on the positive y-axis. This indicates a \(90^{\circ}\) rotation from the x-axis.
03

Sketch angle \(180^{\circ}\)

The angle \(180^{\circ}\) in standard position starts with its initial side on the positive x-axis and rotates counterclockwise until it is horizontal again, but pointing left on the negative x-axis. This indicates a \(180^{\circ}\) rotation from the x-axis.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window. Describe the behavior of the function as \(x\) increases without bound. $$ g(x)=e^{-x^{2} / 2} \sin x $$

Using calculus, it can be shown that the tangent function can be approximated by the polynomial $$\tan x \approx x+\frac{2 x^{3}}{3 !}+\frac{16 x^{5}}{5 !}$$ where \(x\) is in radians. Use a graphing utility to graph the tangent function and its polynomial approximation in the same viewing window. How do the graphs compare?

Use a calculator to evaluate the expression. Round your result to two decimal places. $$ \arcsin 0.65 $$

Use a graphing utility to graph the two equations in the same viewing window. Use the graphs to determine whether the expressions are equivalent. Verify the results algebraically. $$ y_{1}=\tan x \cot ^{2} x, \quad y_{2}=\cot x $$

Evaluate the expression without using a calculator. $$ \arcsin \frac{\sqrt{2}}{2} $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.