Inverse Trigonometric Functions Calculator
\[ \arcsin{x},\arccos{x},\arctan{x} \]
How to Use
- Integer, decimal, and fraction can be entered.
- Enter fraction as 1/2, 3/5, etc.
What are inverse trigonometric functions?
Inverse trigonometric functions are the inverse functions of trigonometric functions.
Inverse trigonometric functions include \(\arcsin\), \(\arccos\), and \(\arctan\).
Inverse trigonometric functions have a domain.
| \( y=\arcsin{x} \) | Domain | \(\displaystyle -1\leq x\leq 1 \) |
|---|---|---|
| Range | \(\displaystyle -\frac{\pi}{2}\leq y\leq \frac{\pi}{2} \) | |
| \( y=\arccos{x} \) | Domain | \(\displaystyle -1\leq x\leq 1 \) |
| Range | \(\displaystyle 0\leq y\leq\pi \) | |
| \( y=\arctan{x} \) | Domain | \(\displaystyle -\infty\lt x\lt\infty \) |
| Range | \(\displaystyle -\frac{\pi}{2}\lt y\lt \frac{\pi}{2} \) |
Example
Example 1
Calculate \( \arcsin{\left(-1\right)} \).
Solution
\[ \arcsin{\left(-1\right)}=-\frac{\pi}{2} \]
Example 2
Calculate \( \arccos{\left( 0 \right)} \).
Solution
\[ \arccos{\left(0\right)}=\frac{\pi}{2} \]
Example 3
Calculate \( \arctan{\left( 1 \right)} \).
Solution
\[ \arctan{\left( 1 \right)}=\frac{\pi}{4} \]