State True or False for the statement. The value of the expressio… - Vidyadip

Question

State True or False for the statement.
The value of the expression $(\cos^{-1}x)^2$ is equal to $\sec^2x.$

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Answer

False.Solution:
$\because\ (\cos^{-1}\text{x})^2=\Big(\sec^{-1}\frac{1}{\text{x}}\Big)^2\neq\sec^2\text{x}$

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