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If cos theta = 1/5 and tan theta = \({2\sqrt{6}}\), determine the exact value of sin theta.

 

I'm completely lost! :(

Guest Nov 28, 2017
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By definition of tangent,

 

tan θ  =  sin θ / cos θ

                                         Plug in  1/5  for  cos θ , and  2√6  for  tan θ .

2√6  =  sin θ / (1/5)

                                         Multiply both sides of the equation by  1/5 .

(1/5)(2√6)  =  sin θ

 

sin θ  =  2√6 / 5                smiley

hectictar  Nov 28, 2017

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