SOLUTION: Can you find the exact value: 3cos(-pi/6) + cot(tan-1 square root 3)

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Question 881003: Can you find the exact value: 3cos(-pi/6) + cot(tan-1 square root 3)
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The exact values of the trigonometric functions of , , , , and are well known.



In this problem, means the inverse tangent function, the angle whose tangent is ,
which happens to be ,
but the cotangent of any angle is the reciprocal of the tangent (if they both exist), so we know that
,
just as we also knew that
Putting it all together,

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