What is the general solution for csc(3x)=sqrt(2) ?

The general solution for csc(3x)=sqrt(2) is x= pi/(12)+(2pin)/3 ,x= pi/4+(2pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(3x)=sqrt(2)

csc (3 x) = 2

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{π}{4} + \frac{2 πn}{3}

Solution steps

csc (3 x) = 2

General solutions for

csc (3 x) = 2

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

Solve

3 x = \frac{π}{4} + 2 πn : x = \frac{π}{12} + \frac{2 πn}{3}

Solve

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

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{π}{4} + \frac{2 πn}{3}

sin (x) = 0, 6

4 cos^{2} (θ) - 3 = 0, 0 \leq θ \leq 2 π

2 sin (θ) - 3 = - csc (θ)

cot (θ) = - 3

2 cos^{2} (t) + 3 cos (t) = - 1

What is the general solution for csc(3x)=sqrt(2) ?
The general solution for csc(3x)=sqrt(2) is x= pi/(12)+(2pin)/3 ,x= pi/4+(2pin)/3