What is the general solution for cos(2x)=-(sqrt(2))/2 ?

The general solution for cos(2x)=-(sqrt(2))/2 is x=(3pi)/8+pin,x=(5pi)/8+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(2x)=-(sqrt(2))/2

cos (2 x) = - \frac{2}{2}

x = \frac{3 π}{8} + πn, x = \frac{5 π}{8} + πn

Solution steps

cos (2 x) = - \frac{2}{2}

General solutions for

cos (2 x) = - \frac{2}{2}

2 x = \frac{3 π}{4} + 2 πn, 2 x = \frac{5 π}{4} + 2 πn

Solve

2 x = \frac{3 π}{4} + 2 πn : x = \frac{3 π}{8} + πn

Solve

2 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{8} + πn

x = \frac{3 π}{8} + πn, x = \frac{5 π}{8} + πn

tan (\frac{θ}{2}) = 3

tan (x) = \frac{1}{4}

cos^{2} (θ) - sin^{2} (θ) + sin (θ) = 0

3 tan (2 x) + 1 = 0

sin (x) = \frac{2}{π}

What is the general solution for cos(2x)=-(sqrt(2))/2 ?
The general solution for cos(2x)=-(sqrt(2))/2 is x=(3pi)/8+pin,x=(5pi)/8+pin