What is the general solution for csc(θ)= 5/2 ?

The general solution for csc(θ)= 5/2 is θ=0.41151…+2pin,θ=pi-0.41151…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(θ)= 5/2

csc (θ) = \frac{5}{2}

θ = 0.41151 \dots + 2 πn, θ = π - 0.41151 \dots + 2 πn

Solution steps

csc (θ) = \frac{5}{2}

Apply trig inverse properties

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

Show solutions in decimal form

θ = 0.41151 \dots + 2 πn, θ = π - 0.41151 \dots + 2 πn

x, sin^{2} (x) = \frac{1}{2}

2 sin (2 x) - 2 = 0, 0 \leq x \leq 2 π

32 cos (θ) + 2 = 5

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

sec (θ) = \frac{5}{2}

What is the general solution for csc(θ)= 5/2 ?
The general solution for csc(θ)= 5/2 is θ=0.41151…+2pin,θ=pi-0.41151…+2pin