Given that y = cosh^-1 (x) , Show that y = ln(x+ sqrt(x^2-1))

Have a picture of full working with annotation to go through during interview.Here is rough outline:y = cosh-1(x)x = cosh(y)x = (ey+e-y)/22x = ey+e-yey+e-y -2x = 0Turn into hidden quadratic by multiplying by eye2y-2xey+1=0By quadratic formula:ey = x +/- sqrt(x2-1)Take positive root in order to make inverse function 1 to 1.y = ln(x + sqrt(x2-1)

MW
Answered by Max W. Further Mathematics tutor

4099 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

The roots of the equation z^3 + 2z^2 +3z - 4 = 0, are a, b and c . Show that a^2 + b^2 +c^2 = -2


Prove by induction that for all positive integers n , f(n) = 2^(3n+1) + 3*5^(2n+1) , is divisible by 17.


Prove by induction that n! > n^2 for all n greater than or equal to 4.


How do I solve x^2 + x - 6 > 0 ?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences