Trig function evaluation is a very important skill to acquire throughout math, especially when you don’t have a calculator. This is just one of the topics you must really master in order to further succeed in math.

Some things to memorize:

__Conversions__
Degrees to Radians:

x° \cdot\:\frac{\pi}{180}
Radians to Degrees:

x\pi \cdot\:\frac{180°}{\pi}

__Even/Odd Identities__
\sin(-\theta)=-\sin(\theta)
\csc(-\theta)=-\csc(\theta)
\cos(-\theta)=\cos(\theta)
\sec(-\theta)=\sec(\theta)
\tan(-\theta)=-\tan(\theta)
\cot(-\theta)=-\cot(\theta)

__Reciprocal/Tangent Identities__
\csc(\theta)=\frac{1}{\sin(\theta)}
\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}
\sec(\theta)=\frac{1}{\cos(\theta)}
\cot(\theta)=\frac{1}{\tan(\theta)}

__Sum/Differences Identities__
\sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta)
\cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta)
\tan(\alpha\pm\beta)=\frac{\tan(\alpha)\pm\tan(\beta)}{1\mp\tan(\alpha)\tan(\beta)}

####
!! This is your best friend. You really, really need to memorize the first quadrant. !!

I will now briefly talk about periodic functions. A periodic function is a function that repeats its value in regular periods. What does that mean? It means that for every period of π, π/2, 2π, etc., the function has the same value. Here are some periodic functions to memorize:

\mathrm{Let}\:n=0,\pm1,\pm2,\pm3,\ldots

\cos(\theta+2n\pi)=\cos(\theta)

\sin(\theta+2n\pi)=\sin(\theta)

\sec(\theta+2n\pi)=\sec(\theta)

\csc(\theta+2n\pi)=\csc(\theta)

\tan(\theta+n\pi)=\tan(\theta)

\cot(\theta+n\pi)=\cot(\theta)

There is no trick to evaluating trig functions. Memorizing what is above will help you to become successful in trig function evaluation.

Here’s an example (

click here):

Here’s another example (

click here):

Evaluating trig functions is pretty simple, but very important to know. For more practice, checkout Symbolab’s

practice.

Until next time,

Leah

VMate

ReplyDelete9Apps

Lucky Patcher

This comment has been removed by the author.

ReplyDeleteHello I am michael, There is one information,Are your looking for someone to write your assignment, here are assignment helpers of

ReplyDeleteProgramming Assignment Help well efficient and capable of creating unique assignments for students.

Students Assignment Help provides essay writing service Singapore for all the college or university students. We cater more than 3000+ assignment writers from all around the world. Our assignment expert writers ensure students for timely delivery of the assignments.

ReplyDeleteYour blog is very interesting. Thanks for sharing!! All Assignment help reviews

ReplyDeleteI will show this post to my friends. They should check these solutions now. Thanks!

ReplyDeleteThis is very interesting, You’re a very skilled blogger. I have joined your rss feed and look forward to seeking more of your excellent post. Also, I have shared your website in my social networks!

ReplyDeleteThank you and best of luck.hotele , sprawdz rowniez hotele w górach

Very useful information for me, thanks for sharing huji cam

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteYou need to also check this blog post for some tips and basic info on how to write persuasive essay. Good luck

ReplyDelete