What is the general solution for sqrt(2)cos(x-pi/4)-1=0 ?

The general solution for sqrt(2)cos(x-pi/4)-1=0 is x= pi/2+2pin,x=2pin+2pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(2)cos(x-pi/4)-1=0

2 cos (x - \frac{π}{4}) - 1 = 0

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

Solution steps

2 cos (x - \frac{π}{4}) - 1 = 0

Move

1

to the right side

2 cos (x - \frac{π}{4}) = 1

Divide both sides by

2

cos (x - \frac{π}{4}) = \frac{2}{2}

General solutions for

cos (x - \frac{π}{4}) = \frac{2}{2}

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

Solve

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

Solve

x - \frac{π}{4} = \frac{7 π}{4} + 2 πn : x = 2 πn + 2 π

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

t, sin (t) + cos (2 t) = 0.75

0 = 3 cos (x)

2 cos^{2} (x) + 3 cos (x) + 1 = 0, 0 \leq x < 2 π

tan (\frac{π}{2} - x) + tan (x) - 1 = 0

cos (1000 t) = 1

What is the general solution for sqrt(2)cos(x-pi/4)-1=0 ?
The general solution for sqrt(2)cos(x-pi/4)-1=0 is x= pi/2+2pin,x=2pin+2pi