What is the general solution for tan(θ)-sqrt(3)=0,0<= θ<= 2pi ?

The general solution for tan(θ)-sqrt(3)=0,0<= θ<= 2pi is θ= pi/3 ,θ=(4pi)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(θ)-sqrt(3)=0,0<= θ<= 2pi

tan (θ) - 3 = 0, 0 \leq θ \leq 2 π

θ = \frac{π}{3}, θ = \frac{4 π}{3}

Degrees

θ = 6 0^{\circ}, θ = 24 0^{\circ}

Solution steps

tan (θ) - 3 = 0, 0 \leq θ \leq 2 π

Move

3

to the right side

tan (θ) - 3 = 0

Add

3

to both sides

tan (θ) - 3 + 3 = 0 + 3

Simplify

tan (θ) = 3

tan (θ) = 3

General solutions for

tan (θ) = 3

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}{3} + πn

θ = \frac{π}{3} + πn

Solutions for the range

0 \leq θ \leq 2 π

θ = \frac{π}{3}, θ = \frac{4 π}{3}

\frac{1}{32} \cdot 120 0^{2} \cdot sin (2 θ) = 3000

1 - cos^{2} (a) = sin^{2} (2 a)

4 cos (2 x) = - 2 sin (x)

tan^{2} (θ) + 2 tan (θ) = 0, tan (2 θ) + 2 tan (θ) = 0

2 cot (x) csc (x) - csc^{2} (x) = 0

What is the general solution for tan(θ)-sqrt(3)=0,0<= θ<= 2pi ?
The general solution for tan(θ)-sqrt(3)=0,0<= θ<= 2pi is θ= pi/3 ,θ=(4pi)/3