SOLUTION: Hi, could you please help me solve this: if tan (x) = 2 sqrt2, with x as a subset of [pi, 3pi/2], what is the exact value of sin (3x) ?

Algebra ->  Trigonometry-basics -> SOLUTION: Hi, could you please help me solve this: if tan (x) = 2 sqrt2, with x as a subset of [pi, 3pi/2], what is the exact value of sin (3x) ?      Log On


   



Question 1023857: Hi, could you please help me solve this:
if tan (x) = 2 sqrt2, with x as a subset of [pi, 3pi/2], what is the exact value of sin (3x) ?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the inverse tangent function of (2 * sqrt(2) ) = 70.528779366 degrees
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we consider x a member [180, 270]
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note that tan(250.528779366) = 2 sqrt(2)
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sin(3 * 250.528779366) = 0.523782801
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