(cosh x/1- tanh x)+(sinh x/ 1- coth x)=
A. 2 cosec hx
B. sinh x+ cosh x
C. sech x
D. tanh x
(cosh x+ sinh x)n=
A. cosh nx+ sinh nx
B. tanh nx6coth nx
C. coth nx+sech nx
D. sinh nx+cosech nx
If tan A= tan α tan β= cot α tanh β, then tan(A+B)=
A. sinh 2βcos 2α
B. sinh 2β cosec 2α
C. cosh 2βsec 2α
D. cosh 2β tan 2α
If z= x+iy such that cos z= 2, then z=
A. log(2+√3)
B. log(2+√3)
C. log(2+√5)
D. log(2-√3)
(tan hx/ Sechx-1)+ (sinh x/ sech x+1)
A. -2 cosech x
B. sin hx+ cos hx
C. sech x
D. tanh x
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. A
B. A
C. B
D. B
log(x-1+√(x2-2x)(x≥2) is equal to
A. Sinh-1 (x-1)
B. Sinh-1 (x+1)
C. Cosh-1 (x-1)
D. Cosh-1 (x+1)