SOLUTION: how to find the value of x for 5 cos x = cot x in range of 0°≤θ≤360°

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Question 847222: how to find the value of x for 5 cos x = cot x in range of 0°≤θ≤360°
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite cot(x) in terms of sin(x) and cos(x).

5cos(x) = cos(x)/sin(x)
Cancel out cos(x)
5 = 1/sin(x)
sin(x) = 1/5
sin^-1(1/5) = x
x = 11.54 degrees.
Check:
5*cos(11.54 degrees) = 4.9
cot(11.54 degrees) = 4.9