/*! 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} Q 115. If fx=sin聽x聽,gx=cos聽xand loca... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 115. (page 382)

If fx=sinx,gx=cosxand localid="1646736974173" hx=2x,Px=x2then,

Find the value of each of the following:

(a) Find f蟺4.What point is on the graph of f ?

(b) Assuming f is one to one use the result of part (a) to find a point on the graph of f-1.

(c) What point is on the graph ofy=fx+蟺4-3ifx=蟺4.

Short Answer

Expert verified

(a) f蟺4is 12.

(b) f-1=2

The graph for f蟺4is,

Step by step solution

01

Step 1. Given information.

Consider the given value fx=sinxwherex=蟺4

02

Step 2. Finding fπ4.

Substitute f蟺4=sin蟺4in the trigonometric standard angle the value ofsin蟺4=45掳=12

03

Step 3. Finding f-1.

Substitute the value .

f-1=1f=1sin蟺4=112=2

04

Step 4. Finding a point on the graph.

To find a point on the graph substitute the value x=蟺4in the function,

y=fx+蟺4-3y=sin2蟺4-3y=-2

05

Step 5. plot the graph.

The graph for the equation y=-2.

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

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

-180掳

Use a calculator to find the approximate value of each expression rounded to two decimal places.

sin28掳

True or false The function fx=xis even.

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

13蟺6

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function

(-5,11),cos蠎
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

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.