Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Using a graphing calculator to make a conjecture as to wether each equation is an identity.sin 2x = 2 sin x

Sagot :

Let's make a graph of each side of our equation:

From the given graph, we can note that both graph are intersect each other when

x is multiple of Pi, that is,

[tex]x=\ldots-n\pi,\ldots,-3\pi,-2\pi,0,\pi,2\pi,\ldots..,n\pi[/tex]

which can be written as

[tex]x=n\times\pi\text{ }[/tex]

with n denoting an integer number.

Therefore, the equation is an identity when

[tex]x=n\times\pi\text{ with n}\in\text{ Integer}[/tex]

View image PippinK414308
View image PippinK414308