How do you evaluate $csc^-1 (-7/3)$ ?

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Answer 1 · 2016-06-05T09:15:43

$theta = -25.3769" to 4 decimal places"$ (clockwise -> 4rd quadrant)

$"cosec"(theta)" is "1/sin(theta)$

$=>"cosec"(theta)" is "1/[("opposite")/("hypotenuse")] =("hypotenuse")/("opposite")-> -7/3$

Tony B

I have made $y$ negative so that we have $=-7/3$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
From the diagram $sin(theta)=-3/7$

So $sin^(1)(-3/7) = theta = -25.3769$ to 4 decimal places

How do you evaluate csc^-1 (-7/3)csc^-1 (-7/3)?