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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Summary:

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

FunctionsRange
\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.

2. Inverse Trigonometric Functions 2
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2. Inverse Trigonometric Functions 5
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2. Inverse Trigonometric Functions 8
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2. Inverse Trigonometric Functions 11
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