Trig Inverses

Question 1

sinh(x) = y =>

Answer 1

x = arsinh(y) = ln(y+sqrt(y^2+1))

Question 2

cosh(x) = y =>

Answer 2

x = arcosh(y)= ln(y+sqrt(y^2-1))

Question 3

tanh(x) = y =>

Answer 3

x = artanh(y) = (1/2)ln(1+y/1-y)

Question 4

sin(x) = y =>

Answer 4

x = pin + (-1)^narcsin(y), n E Z

Question 5

cos(x) = y =>

Answer 5

x = 2pi*n + or - arccos(y), n E Z

Question 6

tan(x) = y =>

Answer 6

x= pi*n + arctan(a), n E Z