Use the definitions of the hyperbolic sine and cosine functions to prove the result: cos h(2 x) = cosh^2 (x) + sin h^2 (x). If sin 57 = m, then express sin 237 in terms of m. Show that (5 \cos 12 t - 12 \sin 12t)^2 + (5 \sin 12t ...
Answer to: Prove Euler's formula e^{ix} = \cos x + i \sin x, by using the principles of calculus. By signing up, you'll get thousands of...
Prove the identity: \sin x \sin 2x + \cos x \cos2x = \cos x Prove the trigonometric equation: cos^2 theta (1+tan^2 theta) = 1. Prove the following. (cos 4x - cos 2x)/(sin2x - sin 4x) = tan 3x Show that cos (x + 3 pi / 2) = sin x using a proof. Prove ...
Use the definitions of coshx and sinhx to show that cosh2x+sinh2x=cosh(2x). Definitions (Exponential definitions): The functions hyperbolic sine and hyperbolic cosine, written, respectively as sinh and cosh, are well-known functions defined...