You can find the angle that corresponds to a value using the inverse trigonometric functions usually listed as cos − 1,sin − 1,tan − 1 on your calculator. The inverse trigonometric functions have a limited range because the trigonometric functions have a limited output. The function arcsine has a range of -π/2 rad = y = π/2 rad, arccosine has a range of 0 rad = y = π rad, and arctangent has a range of -π/2 rad < y < π/2 rad. Below are the graphs of the inverse trigonometric functions. Note, the arctangent function has asymptotes at y = -π/2
rad and y = π/2 rad.
The Reciprocal Trigonometric Function
A reciprocal of a function is 1/function, so when you multiply the reciprocal by the function your resultant is one. Since you can never have a zero in the denominator, the reciprocal function will approach asymptotes at the point when the function is zero. These are the blue lines below. Another relationship to remember is the smaller the value of the original function the larger the reciprocal function value will be.
