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Solve sin^(-1) x gt tan^(-1) x...

Solve `sin^(-1) x gt tan^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
`x in (0,1)`
We have `sin^(-1) x lt tan^(-1) x`
Given inequality is meaningful if `x in [-1, 1]`.
Now, let's draw the graph of `y = sin^(-1) x and y = tan^(-1) x`.

From the graph, we can see that `sin^(-1) x gt tan^(-1) x " for " x in (0, 1]`
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