MTH 133 Final: Final Exam Cheat Sheet

Consider the usual hyperbolic trig functions cosh x = 1/2 (ex + e -x) sinh x = 1/2(ex - e -x) Derive the analog of the double angle formulas for these cases; that is to say expressions for cosh 2x and sinh 2x in terms of cosh x and sinh x. Hint: This is much easier than in the case of ordinary trig functions; just do some algebra on the definitions.

Consider the usual hyperbolic trig functions cosh x = 1/2 (ex + e -x) sinh x = 1/2(ex - e -x) Derive the analog of the double angle formulas for these cases; that is to say expressions for cosh 2x and sinh 2x in terms of cosh x and sinh x. Hint: This is much easier than in the case of ordinary trig functions; just do some algebra on the definitions.