What is the general solution for sqrt(3)*tan^2(x)-1=0 ?

The general solution for sqrt(3)*tan^2(x)-1=0 is x=0.64976…+pin,x=-0.64976…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(3)*tan^2(x)-1=0

3 \cdot tan^{2} (x) - 1 = 0

x = 0.64976 \dots + πn, x = - 0.64976 \dots + πn

Solution steps

3 tan^{2} (x) - 1 = 0

Solve by substitution

tan (x) = \frac{3}{3}, tan (x) = - \frac{3}{3}

tan (x) = \frac{3}{3} : x = arctan \frac{3}{3} + πn

tan (x) = - \frac{3}{3} : x = arctan - \frac{3}{3} + πn

Combine all the solutions

x = arctan \frac{3}{3} + πn, x = arctan - \frac{3}{3} + πn

Show solutions in decimal form

x = 0.64976 \dots + πn, x = - 0.64976 \dots + πn

cos^{4} (x) = \frac{sin ^{2} ( x ) - 1}{4}

2 \cdot sin (x) + 1 = 0

5 cos^{2} (2 x) + 4 cos^{2} (x) - 5 = 0

sin (3 x + 10) = cos (x + 2 4^{\circ})

tan (x^{2}) + 1 = 0

What is the general solution for sqrt(3)*tan^2(x)-1=0 ?
The general solution for sqrt(3)*tan^2(x)-1=0 is x=0.64976…+pin,x=-0.64976…+pin