SOLUTION: How do you solve tan[arcos(sin(-60))]=cot(x) when x is greater than or equal to 0 but less than 360?

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Question 880146: How do you solve tan[arcos(sin(-60))]=cot(x) when x is greater than or equal to 0 but less than 360?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
The work I did for this was fairly messy. I made use of the Unit Circle and the definitions of tangent and cotangent. Start was done at the inner most nesting and working outward from that.

tan%28150%29=-1%2Fsqrt%283%29 or tan%28210%29=1%2Fsqrt%283%29. the reference angle for tangent is 30 degree.

cot%28x%29=1%2Fsqrt%283%29=%281%2F2%29%2F%28sqrt%283%29%2F2%29=cos%28x%29%2Fsin%28x%29, but this would be plus-or-minus, corresponding to 150 degrees or 210 degrees. This corresponds to 60 degrees or 300 degrees for x.