What is the general solution for csc(θ)=1.9 ?

The general solution for csc(θ)=1.9 is θ=0.55426…+2pin,θ=pi-0.55426…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(θ)=1.9

csc (θ) = 1.9

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

Degrees

θ = 31.75686 \dots^{\circ} + 36 0^{\circ} n, θ = 148.24313 \dots^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = 1.9

Apply trig inverse properties

csc (θ) = 1.9

General solutions for

csc (θ) = 1.9

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

θ = arccsc (1.9) + 2 πn, θ = π - arccsc (1.9) + 2 πn

θ = arccsc (1.9) + 2 πn, θ = π - arccsc (1.9) + 2 πn

Show solutions in decimal form

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

4 cos^{2} (x) = 4 - 2 sin^{2} (x)

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

2 sin (x) + \frac{1}{sin ( x )} = 3

cos (x - \frac{π}{4}) = \frac{3}{2}

sec (θ) = 3, sin (θ) < 0

What is the general solution for csc(θ)=1.9 ?
The general solution for csc(θ)=1.9 is θ=0.55426…+2pin,θ=pi-0.55426…+2pin