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

Related Further Mathematics A Level answers

All answers ▸

Prove by induction the sum of n consecutive positive integers is of the form n(n+1)/2.


The rectangular hyperbola H has parametric equations: x = 4t, y = 4/t where t is not = 0. The points P and Q on this hyperbola have parameters t = 1/4 and t = 2 respectively. The line l passes through the origin O and is perpendicular to the line PQ.


How do you calculate the cross product of two vectors?


Prove by induction that, for all integers n >=1 , ∑(from r=1 to n) r(2r−1)(3r−1)=(n/6)(n+1)(9n^2 -n−2). Assume that 9(k+1)^2 -(k+1)-2=9k^2 +17k+6


We're here to help

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