Answers>Further Mathematics>A Level>Article

Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5

7sechx - tanhx = 5 7/coshx - sinhx/coshx = 5 7 - sinhx = 5 cosh x 7 - 0.5(e^x- e^-x) = 2.5(e^x+ e^-x) 7 -0.5e^x+ 0.5e^-x = 2.5e^x+ 2.5e^-x 0 = 3e^x- 7 + 2e^-x 0 = 3e^2x- 7e^x + 2 0 = (3e^x - 1)(e^x -2) e^x = 1/3 e^x =2 x= ln 1/3 x=ln 2

Answered by Alex W. • Further Mathematics tutor

8286 Views

See similar Further Mathematics A Level tutors

Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5

Related Further Mathematics A Level answers

Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).

Use de Moivre’s theorem to show that, (sin(x))^5 = A sin(5x) + Bsin(3x) + Csin(x), where A , B and C are constants to be found.

Find the general solution to the differential equation; y'' + 4y' = 24x^2

Express cos(4x) in terms of powers of cos(x)