What is the general solution for cos(4x)-cos(3x)=0 ?

The general solution for cos(4x)-cos(3x)=0 is x=(4pin)/7 ,x=(2pi)/7+(4pin)/7 ,x=2pi+4pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(4x)-cos(3x)=0

cos (4 x) - cos (3 x) = 0

x = \frac{4 πn}{7}, x = \frac{2 π}{7} + \frac{4 πn}{7}, x = 2 π + 4 πn

Solution steps

cos (4 x) - cos (3 x) = 0

Rewrite using trig identities

- 2 sin (\frac{7 x}{2}) sin (\frac{x}{2}) = 0

Solving each part separately

sin (\frac{7 x}{2}) = 0 or sin (\frac{x}{2}) = 0

sin (\frac{7 x}{2}) = 0 : x = \frac{4 πn}{7}, x = \frac{2 π}{7} + \frac{4 πn}{7}

sin (\frac{x}{2}) = 0 : x = 4 πn, x = 2 π + 4 πn

Combine all the solutions

x = \frac{4 πn}{7}, x = \frac{2 π}{7} + \frac{4 πn}{7}, x = 4 πn, x = 2 π + 4 πn

Merge Overlapping Intervals

x = \frac{4 πn}{7}, x = \frac{2 π}{7} + \frac{4 πn}{7}, x = 2 π + 4 πn

2 cos^{2} (A) + cos (A) - 1 = 0

tan^{3} (x) = tan (x), 0 \leq x \leq 2 π

sin (x^{2} + 3 x + 5) = 0

sin (θ) (2 sin (θ) + 1) = 0

tan (θ) = 0.437

What is the general solution for cos(4x)-cos(3x)=0 ?
The general solution for cos(4x)-cos(3x)=0 is x=(4pin)/7 ,x=(2pi)/7+(4pin)/7 ,x=2pi+4pin