What is the general solution for tan(3+x)=0 ?

The general solution for tan(3+x)=0 is x=pin-3

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tan(3+x)=0

tan (3 + x) = 0

x = πn - 3

Degrees

x = - 171.88733 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (3 + x) = 0

General solutions for

tan (3 + x) = 0

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

3 + x = 0 + πn

3 + x = 0 + πn

Solve

3 + x = 0 + πn : x = πn - 3

3 + x = 0 + πn

0 + πn = πn

3 + x = πn

Move

3

to the right side

3 + x = πn

Subtract

3

from both sides

3 + x - 3 = πn - 3

Simplify

x = πn - 3

x = πn - 3

x = πn - 3

2 cot^{2} (x) - 9 csc (x) = 3

1 = sin (2 θ)

csc (X) - cot (X) = 5

3 sin (θ) = 4 cos (θ)

300 = 400 + 200 cos (\frac{π t}{12})

What is the general solution for tan(3+x)=0 ?
The general solution for tan(3+x)=0 is x=pin-3