For what values of x is Cosh^2(x) - Sinh(x) = 5 Give your answer in the form of a logarithm

Substitute Cosh^2(x) = 1 + Sinh^2(x) into the starting equation (This formula should be known)Make 0 the subject 3Sinh^2(x) - Sinh(x) - 2 = 0Substitute u = Sinh(x) and solve for uSubstitute Sinh(x) back in followed by Sinh(x) = (e^x - e^-x)/2 (This formula should be known)Rearrange and form an equation in e^2x and e^x where 0 is the subject of one sideSubstitute u = e^x and solve for uSubstitute e^x back in and take the natural log of each side only taking ln(p) such that p>=1 Finish by writing the chosen answers clearly

LB
Answered by Liam B. Further Mathematics tutor

2077 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Prove by mathematical induction that 11^n-6 is divisible by 5 for all natural numbers n


Given y=arctan(3e^2x). Show dy/dx= 3/(5cosh(2x) + 4sinh(2x))


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


Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.


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