en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(tan(x)+1)(2sin(x)-sqrt(3))=0

Solution

(tan (x) + 1) (2 sin (x) - 3) = 0

Solution

x = \frac{3 π}{4} + πn, x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

+1

Solution steps

(tan (x) + 1) (2 sin (x) - 3) = 0

Solving each part separately

tan (x) + 1 = 0 or 2 sin (x) - 3 = 0

tan (x) + 1 = 0 : x = \frac{3 π}{4} + πn

2 sin (x) - 3 = 0 : x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

Popular Examples

3sqrt(3)+2tan(x)=2sqrt(3)-tan(x)

33 + 2 tan (x) = 23 - tan (x)

(csc^2(x)-2)(3csc^2(x)-4)=0

(csc^{2} (x) - 2) (3 csc^{2} (x) - 4) = 0

sqrt(2)sec(x)-3tan(x)=-tan(x)

2 sec (x) - 3 tan (x) = - tan (x)

cot(θ)+csc(θ)=-sqrt(3)

cot (θ) + csc (θ) = - 3

3tan^2(θ)+1= 2/(tan^2(θ))

3 tan^{2} (θ) + 1 = \frac{2}{tan ^{2} ( θ )}

Frequently Asked Questions (FAQ)

What is the general solution for (tan(x)+1)(2sin(x)-sqrt(3))=0 ?
The general solution for (tan(x)+1)(2sin(x)-sqrt(3))=0 is x=(3pi)/4+pin,x= pi/3+2pin,x=(2pi)/3+2pin