How do you evaluate ${sec}^{- 1} (1)$ $sec^-1(1)$ without a calculator?

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How do you evaluate ${sec}^{- 1} (1)$ $sec^-1(1)$ without a calculator?

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Answer 1 · 2016-12-01T00:06:57

$2 k π$ $2kpi$ such that $k$ $k$ is represents all integers

Explanation:

We revert the inverse function as follows:

${sec}^{- 1} (1) = x$ $sec^-1(1)=x$
$sec (x) = 1$ $sec(x)=1$
$\frac{1}{cos x} = 1$ $1/cosx=1$
$cos x = 1$ $cosx=1$
Thus $x$ $x$ must be an integral multiple of $2 π$ $2pi$ . This is because whenever x is an integral multiple of $2 π$ $2pi$ , $cos x = 1$ $cosx=1$ .

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How do you evaluate ${sec}^{- 1} (1)$ $sec^-1(1)$ without a calculator?

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How do you evaluate sec−1(1)sec^-1(1) without a calculator?

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How do you evaluate ${sec}^{- 1} (1)$ $sec^-1(1)$ without a calculator?