[" 23.If "sinh^(-1)(2)+sinh^(-1)(3)=x" t...

[" 23.If "sinh^(-1)(2)+sinh^(-1)(3)=x" then "cosh(x)=],[" 1) "(1)/(2)(3sqrt(5)+2sqrt(10))quad " 2) "(1)/(2)(3sqrt(5)-2sqrt(10))],[" 3) "(1)/(2)(12+2sqrt(50))quad " 4) "(1)/(2)(12-2sqrt(50))]

Similar Questions

Explore conceptually related problems

sinh^(-1)2+sinh^(-1)3=x rArr cosh x= then

(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0

(1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)