What is the general solution for sec(θ)= 4/3 ?

The general solution for sec(θ)= 4/3 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin

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sec(θ)= 4/3

sec (θ) = \frac{4}{3}

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

Degrees

θ = 41.40962 \dots^{\circ} + 36 0^{\circ} n, θ = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{4}{3}

Apply trig inverse properties

sec (θ) = \frac{4}{3}

General solutions for

sec (θ) = \frac{4}{3}

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

θ = arcsec (\frac{4}{3}) + 2 πn, θ = 2 π - arcsec (\frac{4}{3}) + 2 πn

θ = arcsec (\frac{4}{3}) + 2 πn, θ = 2 π - arcsec (\frac{4}{3}) + 2 πn

Show solutions in decimal form

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

- 12 cos^{2} (θ) + 3 = - 3

3 sec (x) + sec (x) cot (x) = 0

4 sin (x) = 3 csc (x) + 2 - 23

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

3 cos^{2} (θ) + 2 cos (θ) = 0

What is the general solution for sec(θ)= 4/3 ?
The general solution for sec(θ)= 4/3 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin