Find domain and range of sine inverse (5x+1)

Inverse of sine function is only defined from -pi/2 to pi/2 otherwise it will fail the horizontal line test for the sine function.
CORRECTION. -pi/2 is shown at the wrong position. It should be at minimum
#inverse_trigonometric_functions #anilkumar #globalmathinstitute

[JesusAguilar-shxl]

Dude! Great!!! Everything clicked at the end. However, I did suffer for about 30 minutes trying to figure out why the domain of sin was [-pi/2, pi/2]. But then I figured out that it was just the way you drew your graph that contradicted the horizontal line test along that interval (so you might wanna check that for your next videos).

[saijannali]

Thank you, its really helps that you write even the small steps. This allows for no confusion

[anshumanverma]

you are a great teacher sir i did suffer for about 1 hour but did not understand how to solve inverse functions but now you have cleared my all doubts, thank you very much sir

[abdullahe]

I needed I video like this
Thankyou Mr Kumar
Kind regards:)

[starlightbarbie]

Thanks a lot, didn't understand the solution but now crystal clear after watching this video :)

[ha]

I appreciate you for making this video!!!

[aadhavjaimurugesh]

Very very helpful, thank you very much!

[ronitsinghpatel]

Crystal like clear concept
Thank-you sir 🙏🙏🙏🙏

[laiaplaiap]

Thank very much 🌹🌹🌹💛
Now i understand how can i solve any trigonometric functions
Please can you write for me the domain and range of hyperbolic trigonometric sin, cos, tan and their inverses 🌹

[manojkumarsingh]

Sir that's was an excellent explanation 👏👏

[tug]

Ooohhh wow sir thanks a lot ❤❤👍🏻👍🏻explanation is just crystal clear

[scifo]

Sir kisi inverse trigonometric function ki range same he hoti ha kya

[alialqahtani]

Thanks a lot from engineering student 👨‍🎓

[musawaleed]

Excellent explanation thanks for your help. What about the domain of sine inverse ( 1-1/x^2 ).

[Vishalyadav-zspx]

Thank you so much sir thank you so much sir

[ujjwalkumar]

Plz sir graph ke left side me value minus π hoga na ki - π/2

[DharmendraKumar-blhs]

Sir sec inverse (2x-3) ka range ka video bna dijiye

[orgasplosion]

Extremely helpful, i wish you were my math professor!

[shikharsingh]

You have written domain of sinx wrongway. It should be all real no.

[b.shreekar]

Domain of the function f(x)=sin−1((1+ex)−1)