What is the general solution for solvefor x,cos(x+y)+cos(x)=0 ?

The general solution for solvefor x,cos(x+y)+cos(x)=0 is x= pi/2+2pin-y/2 ,x=(3pi)/2+2pin-y/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,cos(x+y)+cos(x)=0

solve for

x, cos (x + y) + cos (x) = 0

x = \frac{π}{2} + 2 πn - \frac{y}{2}, x = \frac{3 π}{2} + 2 πn - \frac{y}{2}

Solution steps

cos (x + y) + cos (x) = 0

Rewrite using trig identities

2 cos (\frac{y}{2}) cos (\frac{2 x + y}{2}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

cos (\frac{2 x + y}{2}) = 0

General solutions for

cos (\frac{2 x + y}{2}) = 0

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

Solve

\frac{2 x + y}{2} = \frac{π}{2} + 2 πn : x = \frac{π}{2} + 2 πn - \frac{y}{2}

Solve

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

x = \frac{π}{2} + 2 πn - \frac{y}{2}, x = \frac{3 π}{2} + 2 πn - \frac{y}{2}

cos (\frac{π t}{2}) \frac{π}{2} = 0

sin (x) + 2 cos (x) = 0

sec^{2} (x) + csc^{2} (x) = 1

sin (x) = 0.653

- 50 cos (x) - 86.6025400000000 \dots sin (x) = - 50

What is the general solution for solvefor x,cos(x+y)+cos(x)=0 ?
The general solution for solvefor x,cos(x+y)+cos(x)=0 is x= pi/2+2pin-y/2 ,x=(3pi)/2+2pin-y/2