/*! 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. 85 Establish each identity.聽(2cos2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 85 (page 475)

Establish each identity.

(2cos2胃-1)2cos4胃-sin4胃=1-2sin2胃

Short Answer

Expert verified

The left side of the given equation has been simplified to bring the right side.

Step by step solution

01

Step 1. Given Information

The given equation is(2cos2胃-1)2cos4胃-sin4胃=1-2sin2胃

02

Step 2. Calculation 

Consider the left side of the given equation and simplify to bring the right side in order to establish the equation.

(2cos2胃-1)2cos4胃-sin4胃=[2cos2胃-(sin2胃+cos2胃)]2cos4胃-sin4胃=(cos2胃-sin2胃)2(cos2胃-sin2胃)(cos2胃+sin2胃)=(cos2胃-sin2胃)(cos2胃+sin2胃)=cos2胃-sin2胃=1-sin2胃-sin2胃=1-2sin2胃

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

Show thatsin(sin-1v+cos-1(v))=1

True or False: sin-胃+sin胃=0for any value of theta

Establish each identity.

cos胃+sin胃-sin3胃sin胃=cot胃+cos2胃

Show thatsin-1v+cos-1(v)=蟺2

Graph fx=sin2x=1-cos2x2for 0鈮�x鈮�2蟺by hand using transformations.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

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.