What is the general solution for sin(3x)=0.5 ?

The general solution for sin(3x)=0.5 is x= pi/(18)+(2pin)/3 ,x=(5pi}{18}+\frac{2pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(3x)=0.5

sin (3 x) = 0.5

x = \frac{π}{18} + \frac{2 πn}{3}, x = \frac{5 π}{18} + \frac{2 πn}{3}

Solution steps

sin (3 x) = 0.5

General solutions for

sin (3 x) = 0.5

3 x = \frac{π}{6} + 2 πn, 3 x = \frac{5 π}{6} + 2 πn

Solve

3 x = \frac{π}{6} + 2 πn : x = \frac{π}{18} + \frac{2 πn}{3}

Solve

3 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{18} + \frac{2 πn}{3}

x = \frac{π}{18} + \frac{2 πn}{3}, x = \frac{5 π}{18} + \frac{2 πn}{3}

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

- 4 + cos (4 θ) = \frac{- 8 + 3}{2}

3 cos (x) = 1 + sin (x)

6 cos^{2} (\frac{x}{2}) + cos (x) + 1 = 0

- 2 sin (θ) = 1

What is the general solution for sin(3x)=0.5 ?
The general solution for sin(3x)=0.5 is x= pi/(18)+(2pin)/3 ,x=(5pi}{18}+\frac{2pin)/3