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Question

Find the principal values of the following questions:

sec1(23)

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Solution

Let sec1(23)=θsec θ=23
We know that the range of principal value of sec1θis[0,π]{π2}

sec θ=23=secπ6 θ=π6, where θϵ[0,π]{π2}

sec1(23)=π6
Hence, the principal value of sec1(23) is π6


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