/*! 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. 15 express each product as a sum co... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

express each product as a sum containing only sines or only cosines

sin3ϑ2cosϑ2

Short Answer

Expert verified

sin3ϑ2cosϑ2=12[sin(2ϑ)+sin(ϑ)]

Step by step solution

01

Step 1. Given expression 

sin3ϑ2cosϑ2

02

Step 2. expressing them in terms of single sine or cosine

Using identity :

sinx+siny=2sinx+y2cosx-y2

We get :

role="math" localid="1646448141774" sin3ϑ2cosϑ2=12[sin(3ϑ2+ϑ2)+sin(3ϑ2-ϑ2)sin3ϑ2cosϑ2=12[sin(2ϑ)+sin(ϑ)]

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 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.