What is the general solution for cot(x)=-24/7 ?

The general solution for cot(x)=-24/7 is x=2.85779…+pin

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cot(x)=-24/7

cot (x) = - \frac{24}{7}

x = 2.85779 \dots + πn

Degrees

x = 163.73979 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = - \frac{24}{7}

Apply trig inverse properties

cot (x) = - \frac{24}{7}

General solutions for

cot (x) = - \frac{24}{7}

cot (x) = - a \Rightarrow x = arccot (- a) + πn

x = arccot (- \frac{24}{7}) + πn

x = arccot (- \frac{24}{7}) + πn

Show solutions in decimal form

x = 2.85779 \dots + πn

sin (θ) = - \frac{2}{3}, 18 0^{\circ} < θ < 27 0^{\circ}

x, R f = e^{c o s (2 x)}

sin (2 θ) = \frac{12}{13}

sin^{2} (θ) + sin (θ) = 2

7 sin^{2} (θ) - 3 sin (θ) = 4

What is the general solution for cot(x)=-24/7 ?
The general solution for cot(x)=-24/7 is x=2.85779…+pin