What is the general solution for -7tan(x)+sqrt(3)=-3(sqrt(3)+tan(x)) ?

The general solution for -7tan(x)+sqrt(3)=-3(sqrt(3)+tan(x)) is x= pi/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-7tan(x)+sqrt(3)=-3(sqrt(3)+tan(x))

- 7 tan (x) + 3 = - 3 (3 + tan (x))

x = \frac{π}{3} + πn

Solution steps

- 7 tan (x) + 3 = - 3 (3 + tan (x))

Solve by substitution

tan (x) = 3

tan (x) = 3 : x = \frac{π}{3} + πn

Combine all the solutions

x = \frac{π}{3} + πn

csc^{2} (x) + 3 cot^{2} (x) = 1

2 sin^{2} (θ) - sin (θ) - 3 = 0

4 sin (x) cos (x) + 1 = 0

4 sin (x) = 3 csc (x)

sin (2 θ) = \frac{3}{2}, 0 \leq θ < 2 π

What is the general solution for -7tan(x)+sqrt(3)=-3(sqrt(3)+tan(x)) ?
The general solution for -7tan(x)+sqrt(3)=-3(sqrt(3)+tan(x)) is x= pi/3+pin