What is the general solution for cot(x)= 5/12 ,pi<x<(3pi)/2 ?

The general solution for cot(x)= 5/12 ,pi<x<(3pi)/2 is x=1.17600…+pi

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cot(x)= 5/12 ,pi<x<(3pi)/2

cot (x) = \frac{5}{12}, π < x < \frac{3 π}{2}

x = 1.17600 \dots + π

Solution steps

cot (x) = \frac{5}{12}, π < x < \frac{3 π}{2}

Apply trig inverse properties

x = arccot (\frac{5}{12}) + πn

Solutions for the range

π < x < \frac{3 π}{2}

x = arccot (\frac{5}{12}) + π

Show solutions in decimal form

x = 1.17600 \dots + π

tan (x) = \frac{1}{5}, tan (x + \frac{π}{2})

2 cos (5 x) = 0

sin (θ) = - \frac{5}{4}

2 sin^{2} (\frac{x}{2}) + cos (x) = 1 + sin (x)

5 sin^{2} (x) - 6 sin (x) cos (x) = 0

What is the general solution for cot(x)= 5/12 ,pi<x<(3pi)/2 ?
The general solution for cot(x)= 5/12 ,pi<x<(3pi)/2 is x=1.17600…+pi