Multiplying by your conjugate to simplify a rational trigonometric expression

👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms 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 of the denominator, if the denominator involves addition/subtraction or by the reciprocal of the denominator, if the denominator involves product or the expression can be converted to Pythagoras trigonometric identity if possible.
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Organized Videos:
✅ Simplify Trigonometric Identities
• Simplify Trigonometric...
✅ Simplify Trig Functions Using Identities
• Simplify Trig Function...
✅ How to Simplify The Trigonometric Identitities by Dividing
• How to Simplify The Tr...
✅ How to Simplify Trigonometric Identities by Adding and Subtracting
• How to Simplify Trigon...
✅ Simplify Trigonometric Identities by Factoring
• Simplify Trigonometric...
✅ How to Simplify Trigonometric Expressions by Multiplying
• How to Simplify Trigon...
✅ Learn About Trigonometric Identities
• Learn About Trigonomet...
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[@Mariamee123]

These videos are the only reason I'm passing precalc. You explain things in ways non-math oriented people can understand. Thank you

[@brianmclogan]

I really appreciate that and happy to help

[@ericallinger7479]

Keep coming back here just to make sure I'm using these right and at good times. Thanks for the help.

[@hazardousbear7291]

These quick, simple explanations of specific concepts make for EXCELLENT last minute test review 😂

[@atharvaavhad6402]

Very helpful

[@shafiqahmed571]

I passed my test thanks to you 🤗

[@catmonster1361]

Thank you❤️❤️❤️

[@bro_vega_1412]

You can just do it like this : cos^2(x)/(1-sin(x))= (1-sin^2(x))/(1-sin(x))=(1+sin(x))(1-sin(x))/(1-sin(x))=1+sin(x).
Anyway,good video!

[@noeguerrero967]

You're a fantastic teacher

[@brianmclogan]

appreciate it, just happy to be able to help others out

[@CRAFTE.D]

Emily should pay more attention...

[@brianmclogan]

haha always

[@veronikae220]

Thank you!!

[@brianmclogan]

you are very welcome!

[@xadxtya]

Thank you so much I’m learning grade 10 Trigonometry and I didn’t understand this step

[@loheyz4821]

Thank you.

[@brianmclogan]

you are very welcome!

[@jerichorhodesalambatin5209]

Sir, can't you just do a direct substitution there?

[@leslie838]

Thank you, i was doing my homework just fine until i got a problem where it was squared in the numerator but not the denominator.

[@brianmclogan]

you are very welcome! I have a lot of examples

[@rajendranraj3621]

Super

[@ferencc.5675]

You’re a beast

[@brandonandrade3239]

Your a great teacher! Are you still making these types of videos ?

[@brianmclogan]

yes of course, everyday

[@brandonandrade3239]

Brian McLogan thank you for you help, your videos have been making a great impact on my grades!! Finished the quarter with a 90.1%

[@brianmclogan]

great job Brandon! keep it up

[@yuval260990]

There is a faster way to do it with trig Identity . the Cos^2(x) is the same as 1-Sin^2(X). Then we will have only one term of 1-sin(x) left. You you have to know the identities good to see it before star to solve.

[@brianmclogan]

yes that works!

[@yuval260990]

Thank you sir for great videos. You helped me a lot.

[@wristdisabledwriter2893]

I used the same method

[@adityamb2916]

1+ sinx

[@user-qc9cd5iz3l]

Due to online class I am bad at basic math.