If - -sin -1 x -cos -1 x -tan -1 x -1- x- then the smallest interval in which - lies is

The correct option is B 0≤θ≤π 4 Given, θ =sin ^ 1 x +cos ^ 1 x tan ^ 1 x = π #160; 2 tan ^ 1 x because sin ^ 1 ...

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Domain and Range of Basic Inverse Trigonometric Functions

If θ =sin -...

Question

If $θ = {sin}^{- 1} x + {cos}^{- 1} x - {tan}^{- 1} x, 1 \leq x < \infty$ , then the smallest interval in which $θ$ lies is

\frac{π}{2} \leq θ \leq \frac{3 π}{4}

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0 \leq θ \leq \frac{π}{4}

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- \frac{π}{4} \leq θ \leq 0

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\frac{π}{4} \leq θ \leq \frac{π}{2}

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