SOLUTION: For what value(s) of θ does the equation sin θ= 1/(csc θ) hold?
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Question 515387
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For what value(s) of θ does the equation sin θ= 1/(csc θ) hold?
Answer by
richard1234(7193)
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All values of theta. However, if theta equals 0, pi, 2pi, etc. then 1/csc theta is not very well defined, since
,
but we still define 1/(csc 0) to equal sin 0 = 0.