/*! 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. 38 In problems 19-98, establish eac... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 38 (page 474)

In problems 19-98, establish each identity.

cscu-cotu=sinu1+cosu

Short Answer

Expert verified

We have proved the identitycscu-cotu=sinu1+cosu.

Step by step solution

01

Step 1. Given information.

We have:

cscu-cotu=sinu1+cosu

02

Step 2. Establish the identity.    

Take the left hand side:

cscu-cotu

Apply property: csc(u)=1sinu,cotu=cosusinu

=1sinu-cosusinu=1-cos(u)sinu

Multiply the numerator and denominator by 1+cos(u):

=1-cos(u)sinu脳1+cos(u)1+cos(u)=12-cos2(u)sinu1+cos(u)=sin2(u)sinu1+cos(u)=sin(u)1+cos(u)

Hence, proved.

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

find the exact value of the expression

sin 285掳sin 75掳

If tan胃=atan胃3, expresstan胃3in terms of a.

In Problems 9鈥�36, find the exact value of each expression.

tancos-1-32

Establish each identity.

sin3胃+cos3胃1-2cos2胃=sec胃-sin胃tan胃-1

cos(伪+尾)=cos伪cos尾_______sin伪sin尾
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Statistics

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.