What is the general solution for cos(x/2+pi/3)=(sqrt(2))/2 ?

The general solution for cos(x/2+pi/3)=(sqrt(2))/2 is x=4pin-pi/6 ,x=4pin+(17pi)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x/2+pi/3)=(sqrt(2))/2

cos (\frac{x}{2} + \frac{π}{3}) = \frac{2}{2}

x = 4 πn - \frac{π}{6}, x = 4 πn + \frac{17 π}{6}

Solution steps

cos (\frac{x}{2} + \frac{π}{3}) = \frac{2}{2}

General solutions for

cos (\frac{x}{2} + \frac{π}{3}) = \frac{2}{2}

\frac{x}{2} + \frac{π}{3} = \frac{π}{4} + 2 πn, \frac{x}{2} + \frac{π}{3} = \frac{7 π}{4} + 2 πn

Solve

\frac{x}{2} + \frac{π}{3} = \frac{π}{4} + 2 πn : x = 4 πn - \frac{π}{6}

Solve

\frac{x}{2} + \frac{π}{3} = \frac{7 π}{4} + 2 πn : x = 4 πn + \frac{17 π}{6}

x = 4 πn - \frac{π}{6}, x = 4 πn + \frac{17 π}{6}

tan (θ) = 8.2

2 sin (x) = 4 sin (x) + 1

- 1 - cos (θ) = - 3 cos (θ)

3 \cdot cos (θ) = 2 - sin (θ)

0.06 = 0.1 \cdot cos (4 x - 1.57)

What is the general solution for cos(x/2+pi/3)=(sqrt(2))/2 ?
The general solution for cos(x/2+pi/3)=(sqrt(2))/2 is x=4pin-pi/6 ,x=4pin+(17pi)/6