Sin^-1 (-1/2) would be equivalent to sin^-1 (-.5).
Enter -.5 in your calculator and get Sin^-1 of it.
That should be equal to -30 degrees.
Tan (Tan -1 (1/2)) should be equal to 1/2 since you are finding the degree that has a tangent of 1/2 and then you are finding the tangent of that degree.
Follow it through with your calculator.
Tan^-1 (1/2) is the same as Tan^-1 (.5).
Enter .5 in your calculator and get Tan^-1 of it.
That should be equal to 26.56505118 degrees.
Put that in your calculator and get the Tan of it.
That should be equal to .5
If Sin(x) = y, then Sin^-1 (y) = x
If Cos(x) = y, then Cos^-1 (y) = x
If Tan(x) = y, then Tan^-1 (y) = x
These are inverse functions of each other.
This is no different then if , then
Put number into that equation to see how it works.
Note that is the same as
The exponents are being clipped.
They should be and respectively, depending on whether the denominator of the fractional exponent is a y or a 6.
