What is the general solution for sec(θ)=-5/4 ?

The general solution for sec(θ)=-5/4 is θ=2.49809…+2pin,θ=-2.49809…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(θ)=-5/4

sec (θ) = - \frac{5}{4}

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

Solution steps

sec (θ) = - \frac{5}{4}

Apply trig inverse properties

θ = arcsec (- \frac{5}{4}) + 2 πn, θ = - arcsec (- \frac{5}{4}) + 2 πn

Show solutions in decimal form

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

sin^{2} (x) - 4 sin (x) + 1 = 0

6 sin (2 x) + 2 sin (x) = 0

3 sin^{2} (w) - 4 sin (w) - 4 = 0

sin (θ) = \frac{9}{10}

2 sec^{2} (x) - tan^{2} (x) = 3

What is the general solution for sec(θ)=-5/4 ?
The general solution for sec(θ)=-5/4 is θ=2.49809…+2pin,θ=-2.49809…+2pin