How do you evaluate csc^-1 (-7/3)csc−1(−73)?

1 Answer
Tony B
Jun 5, 2016

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

Explanation:

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

=>"cosec"(theta)" is "1/[("opposite")/("hypotenuse")] =("hypotenuse")/("opposite")-> -7/3⇒cosec(θ) is 1oppositehypotenuse=hypotenuseopposite→−73

Tony B

I have made yy negative so that we have =-7/3=−73

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From the diagram sin(theta)=-3/7sin(θ)=−37

So sin^(1)(-3/7) = theta = -25.3769sin1(−37)=θ=−25.3769 to 4 decimal places

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