How do you find the angle $α$ $alpha$ such that $0 \leq α \leq 90$ $0<=alpha<=90$ and $csc α = 1.313$ $cscalpha=1.313$ ?

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How do you find the angle $α$ $alpha$ such that $0 \leq α \leq 90$ $0<=alpha<=90$ and $csc α = 1.313$ $cscalpha=1.313$ ?

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Answer 1 · 2017-08-16T15:55:01

${49.61}^{\circ}$ $49.61^@$

Explanation:

$∙ x csc x = \frac{1}{sin x}$ $•color(white)(x)cscx=1/sinx$

$csc α = 1.313$ $cscalpha=1.313$

$\Rightarrow sin α = \frac{1}{1.313}$ $rArrsinalpha=1/1.313$

$\Rightarrow α = {sin}^{- 1} (\frac{1}{1.313}) \approx {49.61}^{\circ}$ $rArralpha=sin^-1(1/1.313)~~ 49.61^@$

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How do you find the angle $α$ $alpha$ such that $0 \leq α \leq 90$ $0<=alpha<=90$ and $csc α = 1.313$ $cscalpha=1.313$ ?

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Explanation:

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How do you find the angle $α$ $alpha$ such that $0 \leq α \leq 90$ $0<=alpha<=90$ and $csc α = 1.313$ $cscalpha=1.313$ ?