SOLUTION: determine the exact and simplified value of cos^240°-2tan60°sec30°. include a picture of the two special triangles.

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Question 1182094: determine the exact and simplified value of cos^240°-2tan60°sec30°. include a picture of the two special triangles.
Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
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determine the exact and simplified value of cos240°-2tan60°sec30°.
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cos(240°) = -cos(60°) = -1%2F2.


tan(60°) = sqrt%283%29.


sec(30°) = 1%2Fcos%2830%5Eo%29 = 1%2F%28%28sqrt%283%29%2F2%29%29 = 2%2Fsqrt%283%29.



Therefore,  cos240°-2tan60°sec30° = -1%2F2 - 2%2A%28sqrt%283%29%29%2A%282%2Fsqrt%283%29%29 = -1%2F2 - 4 = - 4 1%2F2 = - 4.5.    ANSWER

Solved.