rbmix.com
show that sinhֿ¹x = ln (x + sqrt(x^2 + 1 ))


* *


*******
1

1

 show that sinhֿ¹x = ln (x + sqrt(x^2 + 1 ))
----------------------------------------------

-----------------------------------------------
take u =sinhֿ¹x
x = sinhu = (e^u - e^(-u) ) / 2
rewrite as a quadratic in e^u
and solve for e^u and then take ln
answer and  some steps are given below
================
* *
================

notes on hyperbolic function

(trig. formulae) 
some other examples
prove that (cotA+cosecA-1)/(cotA-cosecA+1)=cosecA+cotA    -----> (problem on trigonometry )

Prove that (tanxsinx) / (tanx+sinx) = (tanx-sinx) / (tanx sinx)    -----> (problem on trigonometry )

find exact value of  tan[22½ °]   or tan (pi / 8 )      -----> (problem on trigonometry )

conditional identity : If A+B+C=π,
prove that: sinA+sinB+sinC = cot(A/2).cot(B/2) [sinA+sinB-sinC] -----> (problem on conditional identity (trigonometry) )



**


(index of articles)
formulae on sequences and series
(trig. formulae) 
(integration formulae)
(other math problems without classification) or  problem index
(formulae on differentiation)
rbmix.com
tags: trigonometry, math, homework help, tutor

search
(index of math formulae)
-------------------------------------------------------------------------------------------------------
(homepage)---------------(mixture)----------------(math)-------------(links)-----------(feedback)
----------------------------------------------------------------------------------------


There is no guarantee about the data/information on this site. You use the data/information at your own risk You use the advertisment links presented on this site at your own risk and discretion. We are not responsible for the content of external internet sites. Some of the links may not be correct or may not work.