What is the general solution for cos(2x)=cos(x)-cos(30)[180] ?

The general solution for cos(2x)=cos(x)-cos(30)[180] is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(2x)=cos(x)-cos(30)[180]

cos (2 x) = cos (x) - cos (3 0^{\circ}) [180]

No Solution for x \in R

Solution steps

cos (2 x) = cos (x) - cos (3 0^{\circ}) [180]

cos (3 0^{\circ}) = \frac{3}{2}

cos (2 x) = cos (x) - \frac{3}{2} [180]

Subtract

cos (x) - \frac{3}{2} [180]

from both sides

cos (2 x) - cos (x) + 903 = 0

Rewrite using trig identities

- 1 - cos (x) + 2 cos^{2} (x) + 903 = 0

Solve by substitution

cos (x) = \frac{1}{4} + i \frac{3 - 1 + 80 3}{4}, cos (x) = \frac{1}{4} - i \frac{3 - 1 + 80 3}{4}

cos (x) = \frac{1}{4} + i \frac{3 - 1 + 80 3}{4} :

No Solution

cos (x) = \frac{1}{4} - i \frac{3 - 1 + 80 3}{4} :

No Solution

Combine all the solutions

No Solution for x \in R

1 - 2 tan (x) = tan^{2} (x)

- 13 a \cdot sin (2 x) - 13 b \cdot cos (2 x) = 0

3 + sin (x) = 2

1 - sin (A) cos (A) = (sin (A) - cos (A))^{2}

sin (43. 5^{\circ}) = 1.5 \cdot sin (x)

What is the general solution for cos(2x)=cos(x)-cos(30)[180] ?
The general solution for cos(2x)=cos(x)-cos(30)[180] is No Solution for x\in\mathbb{R}