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Evaluate, using principal values for the inverse functions involved
Solution:
The given equation above involves with inverse trigonometric functions. Each inverse trigonometric functions represents an angle. We can get the value of the above equation without using a calculator as follows
Let
Express the above trigonometric function in a right triangle
 |
| Photo by Math Principles in Everyday Life |
From the figure above, we can find the other trigonometric functions as follows
Let
Express the above trigonometric function in a right triangle
 |
| Picture by Math Principles in Everyday Life |
From the figure above, we can find the other trigonometric functions as follows
Now, consider the given equation
Rewrite the above equation as follows
Finally, substitute the value of each trigonometric functions to the above equation as follows
