Evaluate the trig function and inverse function

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis.

We can evaluate the composition of a trigonometric function and an inverse trigonometric function using a calculator, the unit circle of the quadrants' triangle. It is important when computing the inverse of a function that the input is within the domain of the function and the output is within the range.

Organized Videos:
✅ Evaluate Inverse Trigonometric Functions
✅ Evaluate Inverse Trigonometric Functions with a calculator
✅ Evaluate Inverse Trigonometric Functions | Learn About
✅ Evaluate Inverse Trigonometric Functions given a Triangle
✅ How to Evaluate Inverse Trig Functions without a calculator
✅ Evaluate a Composition of Inverse Trigonometric Functions
✅ Solve Word Problems in Trigonometry

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#trig #brianmclogan

[alexismaynor]

I’m gonna cry. I finally understand this after floundering around in my calculus class. You are a saint.

[ilimavaouli]

This is the only channel that doesn't overcomplicate simple concepts. This man explained, in three minutes, what my calculus professor failed to explain in two and a half hours.

[coolkid-]

since i have started following you, my life literally changed

[Thejkesta]

Ur a precal legend. Not just doing the problem but explaining every step you take in detail

[Nutellasky]

finally I understand this! thank you so much

[ShadySurge]

Sir you have saved my grade more times than I can count

[MisbahIshfaq-dl]

Finally after 4 years ik how to solve these questions thanks alot😭

[citizenduffus]

Thank You. My professor didn't do it this well

[HeavenGlows]

Question. Given that arcsin is the inverse of sin, why was 5/13 treated as sin? I thought we would have to use the 'proof' formula, (1/sqrt(1-(g(x))^2))*g^1(x). Thanks.

[GeodesicBruh]

It can be shown that cos(arcsin(x))=sqrt(1-x^2)

[MrMoose_]

Why are there only two triangles and in those specific places. For example, had it been cos instead of sin, would the triangles still be in the same place and why?

[AK-opbe]

They probably couldnt tell which one was the adjacent and which one was the hypothenuse on the triangle. The hypothenuse is the side opposite of the 90 degree angle in the triangle. Hope that helps.

[stefanociampichetti]

It's actually a triangle with base 12/13 and hypo 1 (because of the unit circle). It's obviously possible to multiply each side with 13...then you will get a triangle with base 12 en hypo 13.

[joelroman]

Excelente con esta explicación poder deducir las demás funciones trigonométricas de esta naturales son muy útiles para resolver integrales que se aplican con el método de Weierstrass

[ozzyfromspace]

I instinctively said sqrt(1-25/169). Later checked and it turns out that 12/13 = sqrt(1-25/169). Math is weird. Fun video.

[wubbawubster]

I thought the range of arcsin was -90, 90

[matematika]

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[johnjernigan]

What does "5/13 is not on the unit circle" mean? 5/13 is a number, not a point. The point (12/13, 5/13) certainly IS on the unit circle.