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}

cos (12 0^{\circ})

sin (31 5^{\circ})

cos (27 0^{\circ})

3 cos (x) + 2 sin^{2} (x) = 0

tan (\frac{3 π}{8})

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