Asked by Lia
3√10 + sinh-1(3)
what is this in a decimal? I tried plugging it in my calculator, but it wasn't working
what is this in a decimal? I tried plugging it in my calculator, but it wasn't working
Answers
Answered by
oobleck
there are lots of online calculators that can do this for you.
11.305
maybe your calculator can recognize arcsinh or argsinh.
If not, note that arcsinh(x) = ln(x + √(x^2+1))
11.305
maybe your calculator can recognize arcsinh or argsinh.
If not, note that arcsinh(x) = ln(x + √(x^2+1))
Answered by
mathhelper
not clear what you mean by
sinh-1(3), probably sinh<sup>-1</sup> (3)
sinh(x) is defined as (e^x - e^-x)/2
In a nice video, "blackpenredpen" shows that
sinh<sup>-1</sup> (x) = ln(x + √(x^2 + 1)
copy and paste this
www.youtube.com/watch?v=_aqxprTMAso&ab_channel=blackpenredpen
then your
3√10 + sinh-1(3)
= 3√10 + ln(3 + √(9+1)
= 3√10 + ln(3 + √10)
= appr 11.3
sinh-1(3), probably sinh<sup>-1</sup> (3)
sinh(x) is defined as (e^x - e^-x)/2
In a nice video, "blackpenredpen" shows that
sinh<sup>-1</sup> (x) = ln(x + √(x^2 + 1)
copy and paste this
www.youtube.com/watch?v=_aqxprTMAso&ab_channel=blackpenredpen
then your
3√10 + sinh-1(3)
= 3√10 + ln(3 + √(9+1)
= 3√10 + ln(3 + √10)
= appr 11.3