What is the general solution for sin(x)cos(3x)+cos(x)sin(3x)=0 ?

The general solution for sin(x)cos(3x)+cos(x)sin(3x)=0 is x=(pin)/2 ,x= pi/4+(pin)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)cos(3x)+cos(x)sin(3x)=0

sin (x) cos (3 x) + cos (x) sin (3 x) = 0

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

Solution steps

sin (x) cos (3 x) + cos (x) sin (3 x) = 0

Rewrite using trig identities

sin (x + 3 x) = 0

General solutions for

sin (x + 3 x) = 0

x + 3 x = 0 + 2 πn, x + 3 x = π + 2 πn

Solve

x + 3 x = 0 + 2 πn : x = \frac{πn}{2}

Solve

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

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

4 sin^{2} (x) + 4 = 5

2 csc (θ) + 3 = 0

2 cos (x) - 2 sin (2 x) = 0

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

2 sin^{2} (x) = 4 sin (x) + 6

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