SOLUTION: What is the exact angle if cot= -37 degrees between 3pie/2 and 2. I am trying to find the sin 2 theta.

Question 809708: What is the exact angle if cot= -37 degrees between 3pie/2 and 2. I am trying to find the sin 2 theta.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the exact angle if cot= -37 between 3pie/2 and 2pi . I am trying to find the sin 2 theta.
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Note: cot cannot be -37 degrees.
Why? cot is not an angle.
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I'll assume you meant cot(x) = -37
Then tan(x) = -1/37
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Then x = arctan(-1/37) = -0.0270 radians
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So, sin(theta) = -0.027
And, cos(theta) = 0.9996
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Finally:: sin(2 theta) = 2sin(th)cos(th)=2*-0.027*0.9996 = -0.0540
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Cheers,
St
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Cheers,
Stan H.
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