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Domain

Domain of s...

Question

Domain of $sin (cos θ)$ is ......

A

[- \frac{π}{2}, \frac{π}{2}]

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B

R

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C

[0. π]

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D

[- 1, 1]

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Solution

The correct option is C $R$
The domain of $sin (cos θ)$

The domain of $cos$ is $R$

The range of $cos$ is $[- 1, 1]$
$⟹$ The domain of $sin (cos θ)$ is $R$

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The equation ${sin}^{- 1} x = | x - a |$ will have atleast one solution if

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