Show that cosh^2(x)-sinh^2(x)=1
In exponential form, sinh^2(x)=1/4(e^2x+e^-2x-2), cosh^2(x)=1/4(e^2x+e^-2x+2). Therefore cosh^2(x)-sinh^2(x)=1/4(2-(-2))=4/4=1, as required.
TD
Answered by Tutor80806 D. • Further Mathematics tutor
11376 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Express cos(4x) in terms of powers of cos(x)
Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis
A spring with a spring constant k is connected to the ceiling. First a weight of mass m is connected to the spring. Deduce the new equilibrium position of the spring, find its equation of motion and hence deduce its frequency f.
The quadratic equation x^2-6x+14=0 has roots alpha and beta. a) Write down the value of alpha+beta and the value of alpha*beta. b) Find a quadratic equation, with integer coefficients which has roots alpha/beta and beta/alpha.