What is the general solution for 5sin(x)-1=3sin(x) ?

The general solution for 5sin(x)-1=3sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5sin(x)-1=3sin(x)

5 sin (x) - 1 = 3 sin (x)

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

Solution steps

5 sin (x) - 1 = 3 sin (x)

Solve by substitution

sin (x) = \frac{1}{2}

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Combine all the solutions

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

- 1 + cot (x) = csc (x)

9 - 12 sin (x) = 4 cos^{2} (x)

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

5 sec (x) + 7 = - 3

cos (2 θ) + 2 cos (θ) = - 1

What is the general solution for 5sin(x)-1=3sin(x) ?
The general solution for 5sin(x)-1=3sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin