en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ/2)=-(sqrt(2))/2

Solution

cos (\frac{θ}{2}) = - \frac{2}{2}

Solution

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

+1

Solution steps

cos (\frac{θ}{2}) = - \frac{2}{2}

General solutions for

cos (\frac{θ}{2}) = - \frac{2}{2}

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

Solve

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

Solve

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

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

Popular Examples

16sin^2(x)+24sin(x)+8=0

16 sin^{2} (x) + 24 sin (x) + 8 = 0

1 - 3 tan^{2} (x) = 0

6tan^2(θ)-10tan(θ)+1=-5tan(θ)

6 tan^{2} (θ) - 10 tan (θ) + 1 = - 5 tan (θ)

2sin(2x)+6sin(x)-2cos(x)=3

2 sin (2 x) + 6 sin (x) - 2 cos (x) = 3

sin (2 x) = \frac{4}{5}

Frequently Asked Questions (FAQ)

What is the general solution for cos(θ/2)=-(sqrt(2))/2 ?
The general solution for cos(θ/2)=-(sqrt(2))/2 is θ=(3pi)/2+4pin,θ=(5pi)/2+4pin