What is the general solution for (sin(x))/(cos(x))= 1/3 ?

The general solution for (sin(x))/(cos(x))= 1/3 is x=0.32175…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(x))/(cos(x))= 1/3

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

x = 0.32175 \dots + πn

Degrees

x = 18.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

Rewrite using trig identities

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

Use the basic trigonometric identity:

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

= tan (x)

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

Apply trig inverse properties

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

General solutions for

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

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{1}{3}) + πn

x = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

x = 0.32175 \dots + πn

5 sin (θ) + 4 = 0

sin (\frac{5 x}{2}) = 0

sin (3 x - \frac{2 π}{3}) = - \frac{1}{2}

1 - cos (θ) = 1

csc^{2} (x) + 2 cot (x) = 1

What is the general solution for (sin(x))/(cos(x))= 1/3 ?
The general solution for (sin(x))/(cos(x))= 1/3 is x=0.32175…+pin