How to verify a trig identity

4,406 views · Published 28 March 2012 · 4:19 · Indexed 6 November 2026

Channel: Brian McLogan · 2012 · Education

Watch on YouTube

👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side.  To verify rational trigonometric identities, it is usually more convenient to start with getting rid of the denominator(s) of the rational term(s). This can be done by multiplying both the numerator and the denominator by the conjugate if the denominator involves addition/subtraction or by the reciprocal if the denominator involves product.

For non-rational trigonometric identities, we can replace given trigonometric functions/identities with equivalent trigonometric functions/identities and evaluate accordingly.

👏SUBSCRIBE to my channel here:  https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1

❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:  https://www.youtube.com/user/MrBrianMcLogan/community 

Organized Videos:
✅ Verify Trigonometric Identities
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMos0wJjgo2eAIU0pwSOJiFO
✅ Verify Simple Trigonometric Identities
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpz2HcKBer2ZvSJukha_c-N
✅ Verify Trigonometric Identities with Rational Expressions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrpLos0wctDmyZ2CUAWqrxN
✅ Verify Trigonometric Identities by Multiplying
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoXcPHJcaeY2T39zP9YxGbn
✅ Verify Trigonometric Identities by Adding and Subtracting
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoZqv87EvOZMrDTvYv9Q9wI
✅ Verify Trigonometric Identities with Fractions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMppMSO7qBzxCz7fOBwiqA_6
✅ Verify Trigonometric Identities by Pythagorean Identities
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq17Jbf1tWpi7fGFuL5fBAv

🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57

Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#analytictrig #brianmlogan

More from this channel