Solving Trig Equations

Learn how to Solve Trig Equations in this free math video by Mario's Math Tutoring. We discuss some examples in this video utilizing both factoring and the unit circle to help us solve trigonometric equations.

0:17 Example 1 Solving 2sinx + 1 = 0
0:40 Using the Unit Circle to Solve
1:07 How to Write a General Solution
1:47 Example 2 4(cosx)^2 - 1 = 0
3:26 How to Group the Diametrically Opposed Solutions
4:28 Example 3 Factoring Trinomial and Setting Trig Factors to Zero
5:58 Example 4 Solve tan(3x) = 1 Multiple Angle Problem
8:40 Example 5 Using Calculator (tanx)^2 + tanx - 6 = 0
9:20 Factoring the Trinomial and Set Factors Equal to Zero
9:57 Using the Tangent Inverse on the Calculator
10:50 Finding Other Locations on the Unit Circle Since Calculator Only Gives Us 1 Solution

Related Videos:

Master the Unit Circle

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[dylanmattox]

Hey man you’re a great teacher keep up what you do. You just saved my Trig Grade. You make ten times more sense than my actual teacher

[aryaanpetiwalla]

It's amazing how much you can teach in 6 minutes, I love how intuitive your math lessons are and how concepts that many struggle with end up being more simple than you thought originally.

[georgiatravis]

All I want to say is that you've helped me for almost 3 years now, there is nothing you cant explain clearly. Thank you so much for always being there. You are an amazing human being.

[burdeegirl]

Thanks for making me feel less stupid. I've been really struggling with trig, and I don't usually struggle with math so it's been weird. You teach so well.

[arlond]

Hahaha, he just cleared up days worth of confusion in 20 seconds for me.

[RMZernie]

8 years after this video was created and it’s still efficient. Wonderful explaining Mr. Mario!

[farenvyld]

Love the video, explaining really well, your voice is really easy to listen to and clear. Appreciate it, you're saving lives out here.

[superfunguy]

Much love, Mario. Watching this the night before my trig test and it's finally clicking. Thanks so much for the help!

[lauren-xtgx]

Thankyou for this video, I finally understand it! I couldn't even tell you how long I've spent trying to figure this out

[juliabani]

i love you i love you i love you i love you
ive literally been crying for 6 hours working on this assignment for online summer school and ive always sucked at trig and i was prepared to kiss my 90 average away until I found this
thank you thank you thank youuuu

[mekalaabhayareddy]

Mr. Mario you have explained this so easily. Thank you. I understood every single thing you taught. 🙏

[julianas.]

Jesus dude, you really saved my ass here especially not knowing whether to put 2Pi or just pi. You really explained it well. Once again, I thank you. No really, you saved me.

[koviikapose]

Thank you so much for this, I finally understand !! it took forever till I stumbled across your video

[blaino]

I dont know what it is about your explanation but its probably because it's not a half a** explanation like my professors, thanks my man we got that trig test tomorrow.

[mchaney]

Mario, this video is cut in half! It ends at a VERY inopportune moment, right when you are about to explain to us how to handle a coefficient on x in a sin(x) situation.

[iangentry]

Wow thanks! Edementum fails to teach this over many hours and you cleared this up in minutes.

[sandrasaab]

thank you for this. I was confused on when to use npi and 2npi but its all clear now

[aroujekld]

Thanks so much! This was of great help.

[yaboi]

This video just saved my ass, I have to do homework for a week in the span about an hour and I used this as example to do it all... THANK YOU!!!!

[fortimusprime]

Great video! Do you have a video on solving Tan and Cotangent and their inverses? Thanks a ton! God bless you!