What is the general solution for cot(x)=-7.77 ?

The general solution for cot(x)=-7.77 is x=3.01359…+pin

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cot(x)=-7.77

cot (x) = - 7.77

x = 3.01359 \dots + πn

Solution steps

cot (x) = - 7.77

Apply trig inverse properties

x = arccot (- 7.77) + πn

Show solutions in decimal form

x = 3.01359 \dots + πn

tan (θ) = \frac{5}{10}

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

- 3 sin (\frac{x}{2}) = 1, - \frac{π}{2} \leq x \leq \frac{π}{2}

2 sin^{2} (θ) - 5 sin (θ) - 3 = 0

4 cos^{2} (x) - 4 cos (x) - 1 = 0, 0 \leq x \leq 2 π

What is the general solution for cot(x)=-7.77 ?
The general solution for cot(x)=-7.77 is x=3.01359…+pin