What is the general solution for csc(θ)=(-3)/(sqrt(5)) ?

The general solution for csc(θ)=(-3)/(sqrt(5)) is θ=-0.84106…+2pin,θ=pi+0.84106…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(θ)=(-3)/(sqrt(5))

csc (θ) = \frac{- 3}{5}

θ = - 0.84106 \dots + 2 πn, θ = π + 0.84106 \dots + 2 πn

Solution steps

csc (θ) = \frac{- 3}{5}

Simplify

\frac{- 3}{5} : - \frac{3 5}{5}

Apply trig inverse properties

θ = arccsc (- \frac{3 5}{5}) + 2 πn, θ = π + arccsc (\frac{3 5}{5}) + 2 πn

Show solutions in decimal form

θ = - 0.84106 \dots + 2 πn, θ = π + 0.84106 \dots + 2 πn

sec^{2} (x) + tan^{2} (x) = 5 tan (x)

sin (x) = \frac{9}{12}

- 2 cos (x) + 3 sin (x) = 2

cos (x + \frac{π}{6}) - 1 = cos (x - \frac{π}{6})

cos (2 x) cos (x) - sin (2 x) sin (x) = \frac{- 3}{2}

What is the general solution for csc(θ)=(-3)/(sqrt(5)) ?
The general solution for csc(θ)=(-3)/(sqrt(5)) is θ=-0.84106…+2pin,θ=pi+0.84106…+2pin