"Published in Suisun City, California, USA"
Rewrite the expression as an algebraic expression in x for
Solution:
Consider the given equation above, we have
Let
and
so that the above equation becomes
Next, we need to get the values of trigonometric functions as a function of x. Consider again the given inverse trigonometric functions in order to get the trigonometric functions as a function of x as follows:
Let
Draw and label a right triangle in order to get the other trigonometric functions as a function of x
 |
| Photo by Math Principles in Everyday Life |
Let
Draw and label a right triangle in order to get the other trigonometric functions as a function of x
 |
| Photo by Math Principles in Everyday Life |
Finally, consider again the function
Substitute the values of trigonometric functions to the above equation, we have
Rationalize the denominator in order to eliminate the radical sign
Therefore,
