What is the general solution for cos(2x)cos(x)-sin(2x)sin(x)=1 ?

The general solution for cos(2x)cos(x)-sin(2x)sin(x)=1 is x=(2pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(2x)cos(x)-sin(2x)sin(x)=1

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

x = \frac{2 πn}{3}

Solution steps

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

Rewrite using trig identities

cos (2 x + x) = 1

General solutions for

cos (2 x + x) = 1

2 x + x = 0 + 2 πn

Solve

2 x + x = 0 + 2 πn : x = \frac{2 πn}{3}

x = \frac{2 πn}{3}

sin (x - \frac{π}{2}) = - \frac{2}{2}

cos (x) = \frac{1}{10}

- 8 sin (θ) + 5 = 5

(csc (a) + 1) (csc (a) + 1) = cot^{2} (a)

43 sec (θ) + 7 = - 1

What is the general solution for cos(2x)cos(x)-sin(2x)sin(x)=1 ?
The general solution for cos(2x)cos(x)-sin(2x)sin(x)=1 is x=(2pin)/3