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

The general solution for sec(θ)=(sqrt(5))/2 is θ=0.46364…+2pin,θ=2pi-0.46364…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(θ)=(sqrt(5))/2

sec (θ) = \frac{5}{2}

θ = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

Degrees

θ = 26.56505 \dots^{\circ} + 36 0^{\circ} n, θ = 333.43494 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{5}{2}

Apply trig inverse properties

sec (θ) = \frac{5}{2}

General solutions for

sec (θ) = \frac{5}{2}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

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

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

Show solutions in decimal form

θ = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

4 cos (x - 1) = 0

cos (θ) = \frac{5}{7}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

sin (x) + 4 = cos (x) + 3

\frac{sin ( 17 0 ^{\circ} )}{8} = \frac{sin ( B )}{5}

tan (x) = 0.01096

What is the general solution for sec(θ)=(sqrt(5))/2 ?
The general solution for sec(θ)=(sqrt(5))/2 is θ=0.46364…+2pin,θ=2pi-0.46364…+2pin