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 $hatA = theta$

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

$:. a = 4, c = 17$

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

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

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

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

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

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

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