/*! 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 107. If聽fx=sin聽x聽,gx=cos聽x聽and聽... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 107. (page 382)

Iffx=sinx,gx=cosxandhx=2x,Px=x2.Find the value of the functionf+g30掳.

Short Answer

Expert verified

The value of the function is1+32.

Step by step solution

01

Step 1. Given information.

Givenfx=sinxand gx=cosxand the value of xis localid="1646469332756" 30掳.

02

Step 2. Simplify the given expression.

f+g30掳can be written as f30掳and g30掳.

Substitute sin30掳for f30掳and cos30掳for g30掳.

then,

f+g30掳=sin30掳+cos30掳

03

Step 3. Find the value of f+g30∘.

In trigonometric standard angle the value of sin30鈭�=12and cos30鈭�=32.

Substitute the values of angles into simplified expression.

f+g30掳=sin30掳+cos30掳=12+32=1+32

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

In Problems 4-6convert each angle in radians to degrees.

6.3蟺4

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.

210掳

In Problems 13鈥�20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

12,-32.

The domain of the functionf(x)=x+12x+1is _______.

The range of the sine function is _____.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

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.