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Question
Find the principal value of `sin^-1 1/sqrt(2)`
Solution
Let y = `sin^-1 1/sqrt(2)`
Where `- pi/2 ≤ y ≤ pi/2`
sin y = `1/sqrt(2)`
= `sin (pi/4)`
y = `pi/4`
∴ The principal value of `sin^-1 1/sqrt(2) = pi/4`
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