What is the general solution for cot^2(x)-7cot(x)+10=0 ?

The general solution for cot^2(x)-7cot(x)+10=0 is x=0.19739…+pin,x=0.46364…+pin

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cot^2(x)-7cot(x)+10=0

cot^{2} (x) - 7 cot (x) + 10 = 0

x = 0.19739 \dots + πn, x = 0.46364 \dots + πn

Solution steps

cot^{2} (x) - 7 cot (x) + 10 = 0

Solve by substitution

cot (x) = 5, cot (x) = 2

cot (x) = 5 : x = arccot (5) + πn

cot (x) = 2 : x = arccot (2) + πn

Combine all the solutions

x = arccot (5) + πn, x = arccot (2) + πn

Show solutions in decimal form

x = 0.19739 \dots + πn, x = 0.46364 \dots + πn

x, r - 2 s + t = sin (2 x + 3 y)

sin^{5} (a) = 16 sin^{5} (a) - 20 sin^{3} (a) + 5 sin (a)

tan (b) = \frac{1}{2}

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

sin^{22} (x) = 4 sin^{2} (x) cos^{2} (x)

What is the general solution for cot^2(x)-7cot(x)+10=0 ?
The general solution for cot^2(x)-7cot(x)+10=0 is x=0.19739…+pin,x=0.46364…+pin