What is the general solution for tan(θ)*10=10 ?

The general solution for tan(θ)*10=10 is θ= pi/4+pin

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tan(θ)*10=10

tan (θ) \cdot 10 = 10

θ = \frac{π}{4} + πn

Degrees

θ = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) \cdot 10 = 10

Divide both sides by

10

tan (θ) \cdot 10 = 10

Divide both sides by

10

\frac{tan ( θ ) \cdot 10}{10} = \frac{10}{10}

Simplify

tan (θ) = 1

tan (θ) = 1

General solutions for

tan (θ) = 1

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}

θ = \frac{π}{4} + πn

θ = \frac{π}{4} + πn

4 cos (x) + tan (4 5^{\circ}) = 0.6

sin (5 x + 8) = cos (9 x - 16)

cos (x^{\circ}) = \frac{125}{174}

csc (θ) = 23

2 csc^{2} (x) + 5 cot (x) = 5

What is the general solution for tan(θ)*10=10 ?
The general solution for tan(θ)*10=10 is θ= pi/4+pin