How do you sketch a right triangle corresponding to #csctheta=17/4# and find the third side, then find the other five trigonometric functions?

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Answer 1 · 2018-02-20T12:07:05

Third side #b ~~16.5#

See below for the other trigonometric functions.

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Let #hatA = theta#

#csc theta = 17 / 4 = c / a = 4.25#

#:. a = 4, c = 17#

#b = sqrt(17^2 - 4^2) ~~ 16.5#

#sin theta = a / c = 4 / 17 = 0.2353#

#cos theta = b / c = 16.5/17 = 0.9706#

#tan theta = a / b = 4 / 16.5 = 0.2424#

#sec theta = c / b = 17 / 16.5 = 1.0303#

#cot theta = b / a = 16.5 / 4 = 4.125#