What is the general solution for 4=sec(θ) ?

The general solution for 4=sec(θ) is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4=sec(θ)

4 = sec (θ)

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

Solution steps

4 = sec (θ)

Switch sides

sec (θ) = 4

Apply trig inverse properties

θ = arcsec (4) + 2 πn, θ = 2 π - arcsec (4) + 2 πn

Show solutions in decimal form

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

1 + 2 sin (x) = cos (2 x)

12 - sin (θ) = cos (2 θ)

2 cos (θ) = 3

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

3 = 4 sin (θ)

What is the general solution for 4=sec(θ) ?
The general solution for 4=sec(θ) is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin