How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through $(- sqrt 3, 1)$ ?

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How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through $(- sqrt 3, 1)$ ?

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Answer 1 · 2016-12-09T05:08:31

Find values of trig functions

Explanation:

Consider the right triangle OMm with
$Om = -sqrt3$ ; and Mn = 1.
The hypotenuse OM equals to: $OM = sqrt(1 + 3) = 2$
Call t the angle < Mom.
$sin t = 1/2$
$cos t = sqrt3/2$
$tan t = sin t/(cos t) = 1/sqrt3 = sqrt3/3$
$cot t = sqrt3$
$sec t = 2/sqrt3 = 2sqrt3/3$
$csc t = 2$

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How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through $(- sqrt 3, 1)$ ?

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Explanation:

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How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through (- sqrt 3, 1)(- sqrt 3, 1)?

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Explanation:

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How do you find the product of all six trigonometric functions of an angle theta in standard position whose terminal side passes through $(- sqrt 3, 1)$ ?