What is the general solution for 3(sec(θ))=sqrt(10) ?

The general solution for 3(sec(θ))=sqrt(10) is θ=0.32175…+2pin,θ=2pi-0.32175…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(sec(θ))=sqrt(10)

3 (sec (θ)) = 10

θ = 0.32175 \dots + 2 πn, θ = 2 π - 0.32175 \dots + 2 πn

Degrees

θ = 18.43494 \dots^{\circ} + 36 0^{\circ} n, θ = 341.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

3 (sec (θ)) = 10

Divide both sides by

3

3 sec (θ) = 10

Divide both sides by

3

\frac{3 sec ( θ )}{3} = \frac{10}{3}

Simplify

sec (θ) = \frac{10}{3}

sec (θ) = \frac{10}{3}

Apply trig inverse properties

sec (θ) = \frac{10}{3}

General solutions for

sec (θ) = \frac{10}{3}

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

θ = arcsec (\frac{10}{3}) + 2 πn, θ = 2 π - arcsec (\frac{10}{3}) + 2 πn

θ = arcsec (\frac{10}{3}) + 2 πn, θ = 2 π - arcsec (\frac{10}{3}) + 2 πn

Show solutions in decimal form

θ = 0.32175 \dots + 2 πn, θ = 2 π - 0.32175 \dots + 2 πn

2 sin^{2} (3 x) - 1 = 0

4 sin^{3} (x) + 2 sin^{2} (x) = 2 sin (x) + 1

(tan (x) + 1)^{2} = 0

cos (2 x) + 3 = 5 cos (x)

3 csc (θ) + 2 = 0

What is the general solution for 3(sec(θ))=sqrt(10) ?
The general solution for 3(sec(θ))=sqrt(10) is θ=0.32175…+2pin,θ=2pi-0.32175…+2pin