# My calculator displays #sin^(-1)sin 45^o=45^o, sin^(-1)sin 135^o=45^o and sin^(-1)sin 405^o=45^o#.How do you convert this answer from the calculator to the specific starter value? for similar other trigonometric forms?

##### 1 Answer

Oct 15, 2016

The algorithm, of the program that is executed, chooses the

principal value

Obviously, if you see x as the answer, using f(-1)f(x)=x. do not use the

device. Such an answer is needed, when x radian = x(time), as in the

wave equation, y = sin x, where x = ct.

The general value of x is

I have used here

For example, the input

For

For example,for the input

for

it is same as for