What is the general solution for (cos(x))/(sin(x))=1 ?

The general solution for (cos(x))/(sin(x))=1 is x= pi/4+pin

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(cos(x))/(sin(x))=1

\frac{cos ( x )}{sin ( x )} = 1

x = \frac{π}{4} + πn

Degrees

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

Solution steps

\frac{cos ( x )}{sin ( x )} = 1

Rewrite using trig identities

\frac{cos ( x )}{sin ( x )}

Use the basic trigonometric identity:

\frac{cos ( x )}{sin ( x )} = cot (x)

= cot (x)

cot (x) = 1

General solutions for

cot (x) = 1

cot (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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

- 2 tan (θ) - 4 - tan^{2} (θ) = - 3

cos^{2} (x) = 3 - 5 cos (x)

sin (x) = \frac{1}{sec ( x )}

x, 1 - 2 cos^{2} (x) - 2 cos (x) = 0

1 = tan (\frac{x}{3})

What is the general solution for (cos(x))/(sin(x))=1 ?
The general solution for (cos(x))/(sin(x))=1 is x= pi/4+pin