How do you find the exact value of ${csc}^{- 1} 2$ $csc^-1 2$ ?

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Answer 1 · 2018-06-30T16:35:56

${csc}^{- 1} 2 = 30^{\circ}$ $csc^(-1)2=30^@$

${csc}^{- 1} 2$ $csc^(-1)2$ represent the angle $α$ $alpha$ whose cosecant ratio is $2$ $2$ i.e. $csc α = 2$ $cscalpha=2$

or $sin α = \frac{1}{csc α} = \frac{1}{2}$ $sinalpha=1/cscalpha=1/2$

As ${sin 30}^{\circ} = \frac{1}{2}$ $sin30^@=1/2$ , $α = 30^{\circ}$ $alpha=30^@$

i.e. ${csc}^{- 1} 2 = 30^{\circ}$ $csc^(-1)2=30^@$

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