Find the exact value of the expression. Use a graphing utility to verify your result. (Hint: Make a sketch of a right triangle.)

Question

csc(arctan(-15/8))

= ______

Answer 1

This just happens to be a triples triangle of 8,15,17. Since the tan is negative, csc will also be negative. So the csc(x) = -17/15.

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15| \ 17 csc(x) = hypotenuse/opposite = 17/15 but in Q II or Q IV

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8