What is the general solution for 4cot(x)+3=-1 ?

The general solution for 4cot(x)+3=-1 is x=(3pi)/4+pin

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4cot(x)+3=-1

4 cot (x) + 3 = - 1

x = \frac{3 π}{4} + πn

Solution steps

4 cot (x) + 3 = - 1

Move

3

to the right side

4 cot (x) = - 4

Divide both sides by

4

cot (x) = - 1

General solutions for

cot (x) = - 1

x = \frac{3 π}{4} + πn

cos (\frac{θ}{2}) - cos (θ) = 1

cot (θ) = \frac{4}{3}

0 = sin (x) - cos (x)

1 - tan^{2} (x) = sec^{2} (x)

cos (2 θ - \frac{π}{2}) = - 1, 0 \leq θ < 2 π

What is the general solution for 4cot(x)+3=-1 ?
The general solution for 4cot(x)+3=-1 is x=(3pi)/4+pin