What is the general solution for ((sqrt(2))/2)(cos(θ)+sin(θ))=0 ?

The general solution for ((sqrt(2))/2)(cos(θ)+sin(θ))=0 is θ=(3pi)/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((sqrt(2))/2)(cos(θ)+sin(θ))=0

(\frac{2}{2}) (cos (θ) + sin (θ)) = 0

θ = \frac{3 π}{4} + πn

Solution steps

(\frac{2}{2}) (cos (θ) + sin (θ)) = 0

Rewrite using trig identities

\frac{1 + tan ( θ )}{2} = 0

Multiply both sides by

2

1 + tan (θ) = 0

Move

1

to the right side

tan (θ) = - 1

General solutions for

tan (θ) = - 1

θ = \frac{3 π}{4} + πn

12 sin (x) - 2 = 2 + 8 sin (x)

cos (2 x + 30) = \frac{1}{2}, 0^{\circ} \leq x \leq 36 0^{\circ}

tan (θ) = \frac{43}{90}

2 sin (2 x + \frac{π}{3}) = 1

sec (x) = 2, cos (x)

What is the general solution for ((sqrt(2))/2)(cos(θ)+sin(θ))=0 ?
The general solution for ((sqrt(2))/2)(cos(θ)+sin(θ))=0 is θ=(3pi)/4+pin