What is the general solution for sec(θ)=(sqrt(6))/2 ?

The general solution for sec(θ)=(sqrt(6))/2 is θ=0.61547…+2pin,θ=2pi-0.61547…+2pin

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sec(θ)=(sqrt(6))/2

sec (θ) = \frac{6}{2}

θ = 0.61547 \dots + 2 πn, θ = 2 π - 0.61547 \dots + 2 πn

Degrees

θ = 35.26438 \dots^{\circ} + 36 0^{\circ} n, θ = 324.73561 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{6}{2}

Apply trig inverse properties

sec (θ) = \frac{6}{2}

General solutions for

sec (θ) = \frac{6}{2}

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

θ = arcsec (\frac{6}{2}) + 2 πn, θ = 2 π - arcsec (\frac{6}{2}) + 2 πn

θ = arcsec (\frac{6}{2}) + 2 πn, θ = 2 π - arcsec (\frac{6}{2}) + 2 πn

Show solutions in decimal form

θ = 0.61547 \dots + 2 πn, θ = 2 π - 0.61547 \dots + 2 πn

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

1.5 2 = 3 cos (x)

\frac{sin ( 5 9 ^{\circ} )}{8} = \frac{sin ( x )}{9.25}

2 a \cdot cos (θ) = 0

\frac{sin ^{3} ( x )}{cos ^{3} ( x ) - cos ( x )} = tan (x)

What is the general solution for sec(θ)=(sqrt(6))/2 ?
The general solution for sec(θ)=(sqrt(6))/2 is θ=0.61547…+2pin,θ=2pi-0.61547…+2pin