What is the general solution for (sin(x)+cos(x))=1 ?

The general solution for (sin(x)+cos(x))=1 is x=2pin,x=2pin+pi/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(x)+cos(x))=1

(sin (x) + cos (x)) = 1

x = 2 πn, x = 2 πn + \frac{π}{2}

Solution steps

(sin (x) + cos (x)) = 1

Rewrite using trig identities

2 sin (x + \frac{π}{4}) = 1

Divide both sides by

2

sin (x + \frac{π}{4}) = \frac{2}{2}

General solutions for

sin (x + \frac{π}{4}) = \frac{2}{2}

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

Solve

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

Solve

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

x = 2 πn, x = 2 πn + \frac{π}{2}

sin (θ) = 0.72437

cos (x) = \frac{5}{12}

2 cos^{2} (x) + cos (x) - 10 = 0

a, 9 0^{\circ} = 18 0^{\circ} - 2 \cdot arccos (\frac{2 a}{c})

cos (x) = \frac{π}{4}

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