What is the general solution for cos(x+(3pi)/4)+cos(x-(3pi)/4)=1 ?

The general solution for cos(x+(3pi)/4)+cos(x-(3pi)/4)=1 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x+(3pi)/4)+cos(x-(3pi)/4)=1

cos (x + \frac{3 π}{4}) + cos (x - \frac{3 π}{4}) = 1

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

Solution steps

cos (x + \frac{3 π}{4}) + cos (x - \frac{3 π}{4}) = 1

Rewrite using trig identities

- 2 cos (x) = 1

Divide both sides by

- 2

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

General solutions for

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

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

5 - sin (θ) = cos (2 θ)

8 sin (θ) + 43 = 0

x, sin (x) = \frac{3}{2}

tan (α) = 2

sin (2 x + \frac{π}{4}) = \frac{2}{2}

What is the general solution for cos(x+(3pi)/4)+cos(x-(3pi)/4)=1 ?
The general solution for cos(x+(3pi)/4)+cos(x-(3pi)/4)=1 is x=(3pi)/4+2pin,x=(5pi)/4+2pin