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Commutative Law of Binary Operation

Domain of cos...

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Domain of cos inverse (2/2+sinx)

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Q. The domain of

f (x) = {cos}^{- 1} (\frac{2}{2 + sin x})

[0, 2 π]

f (x) = | sin x |

, then domain of

f

for the existence of inverse is

Q. Find the domain and the inverse of the following functions:

f (x) = \frac{x^{2}}{1 + x^{2}}

Q. Inverse of the matrix

[\begin{matrix} cos 2 θ & - sin 2 θ sin 2 θ & cos 2 θ \end{matrix}]

Q. If (cos¶/2+x) =-sinx, then - cos(¶/2+x)=sinx am I right?

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Commutative Law of Binary Operation

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