Identify the correct order.

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(D) To determine the correct order,we evaluate the values of the inverse secant function:$1$. $\sec^{-1}(1) = 0$$2$. $\sec^{-1}(2) = \frac{\pi}{3} \ap

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$sec^{-1}(1) < sec^{-1}(2) < sec^{-1}(-2) < sec^{-1}(-1)$

Vedclass · Answer

(D) To determine the correct order,we evaluate the values of the inverse secant function:$1$. $\sec^{-1}(1) = 0$$2$. $\sec^{-1}(2) = \frac{\pi}{3} \approx 1.047$$3$. $\sec^{-1}(-2) = \frac{2\pi}{3} \approx 2.094$$4$. $\sec^{-1}(-1) = \pi \approx 3.141$Comparing these values,we get $0 Thus,the correct order is $\sec^{-1}(1) < \sec^{-1}(2) < \sec^{-1}(-2) < \sec^{-1}(-1)$.

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