log(x-1+√(x2-2x)(x≥2) is equal to
Sinh-1 (x-1)
Sinh-1 (x+1)
Cosh-1 (x-1)
Cosh-1 (x+1)
(cosh x+ sinh x)n=
cosh nx+ sinh nx
tanh nx6coth nx
coth nx+sech nx
sinh nx+cosech nx
If Sinh-1 √3= log(sec θ+tan θ), then θ=
π/6
π/4
π/3
2 π/3
If A= Tanh-1 (1/2)+ Coth-1(2), B= sinh(Cosh-1 9), C= sech2(Tanh-1 1/2)+cosech2(Coth-1 3) then
A
B
(tan hx/ Sechx-1)+ (sinh x/ sech x+1)
-2 cosech x
sin hx+ cos hx
sech x
tanh x
If sinh x= cos θ and sin θ=2/3 then cosh x=
5/3
√13/3
√14/3
none
If y= 1/2 Cosech-1 (1/2x√(1+x2)), then x=
cosh y
sinh y
tanh y
coth y
If cosh x= sec θ, then tanh2 x/2=
sin2 θ/2
cos2 θ/2
tan2 θ/2
cot2 θ/2
2 cosh 3 cosh 5=
cosh 2
cosh 8- cosh 2
cosh 15
cosh 8+ cosh 2
If tan A= tan α tan β= cot α tanh β, then tan(A+B)=
sinh 2βcos 2α
sinh 2β cosec 2α
cosh 2βsec 2α
cosh 2β tan 2α
(cosh x/1- tanh x)+(sinh x/ 1- coth x)=
2 cosec hx
sinh x+ cosh x
If coth x= sec θ, then cosech x=
cosec θ
sec θ
tan θ
cot θ
If 2 Sinh-1 (a/√(1-a2))= log(1+x/1-x), then x=
2a
3a
4a
a
If z= x+iy such that cos z= 2, then z=
log(2+√3)
log(2+√5)
log(2-√3)
If sinh 9- k sinh k=(k+1)sinh3 k,then k=
3
4
9
noneof these