What is the general solution for tan(y)=1 ?

The general solution for tan(y)=1 is y= pi/4+pin

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tan(y)=1

tan (y) = 1

y = \frac{π}{4} + πn

Degrees

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

Solution steps

tan (y) = 1

General solutions for

tan (y) = 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}

y = \frac{π}{4} + πn

y = \frac{π}{4} + πn

cot (x) tan (x) = (sec (x)) (csc (x))

sin (2 x) = 5 cos^{2} (x)

2 sin^{2} (x) - 3 sin (x) + 1 = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

sin^{2} (θ) + cos (θ) = 2

cot (2 x) - 1 = 0

What is the general solution for tan(y)=1 ?
The general solution for tan(y)=1 is y= pi/4+pin