2. Inverse Trigonometric Functions

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Inverse Trigonometric Functions Class 12 Maths

Inverse Trigonometry Formula Sheet 1
Formula Sheet 1
Inverse Trigonometry Formula Sheet 2
Formula Sheet 2

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The ranges (principal value branches) of inverse trigonometric functions are given in the following table:

\sin^{-1}x \left[ \frac{-\pi}{2}, \frac{\pi}{2} \right]
\csc^{-1}x \left[ \frac{-\pi}{2}, \frac{\pi}{2} \right] – {0}
\tan^{-1}x \left( \frac{-\pi}{2}, \frac{\pi}{2} \right)
\cos^{-1}x [0, \pi]
\sec^{-1}x [0, \pi] – { \frac{\pi}{2} }
\cot^{-1}x (0, \pi)

\sin^{-1}x should not be confused with (\sin x)^{-1}. In fact (\sin x)^{-1} = \frac{1}{\sin x} and similarly for other trigonometric functions.

The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions.

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2. Inverse Trigonometric Functions 5
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2. Inverse Trigonometric Functions 11