What is the general solution for tan(a)= 4/4 ?

The general solution for tan(a)= 4/4 is a= pi/4+pin

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tan(a)= 4/4

tan (a) = \frac{4}{4}

a = \frac{π}{4} + πn

Degrees

a = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = \frac{4}{4}

Apply rule

\frac{a}{a} = 1

tan (a) = 1

General solutions for

tan (a) = 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}

a = \frac{π}{4} + πn

a = \frac{π}{4} + πn

cos^{2} (θ) = 2 cos (θ)

2 sin (x) - sin (2 x) = sin (2 x)

2 cos^{2} (x) + cos (2 x) - 2 = 0

3 cos (x) + 5 = 7, 0^{\circ} \leq x \leq 36 0^{\circ}

cot (3 x - 6^{\circ}) = \frac{3}{3}

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