What is the general solution for sec(θ)=1.984 ?

The general solution for sec(θ)=1.984 is θ=1.04253…+2pin,θ=2pi-1.04253…+2pin

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sec(θ)=1.984

sec (θ) = 1.984

θ = 1.04253 \dots + 2 πn, θ = 2 π - 1.04253 \dots + 2 πn

Solution steps

sec (θ) = 1.984

Apply trig inverse properties

θ = arcsec (1.984) + 2 πn, θ = 2 π - arcsec (1.984) + 2 πn

Show solutions in decimal form

θ = 1.04253 \dots + 2 πn, θ = 2 π - 1.04253 \dots + 2 πn

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

sin (2 θ) = 2 cos (θ)

30 = 30 cos (\frac{1}{4} (x - 5)) + 15

sec (x) sin^{2} (x) = sec (x)

cos (θ) = - 0.07

What is the general solution for sec(θ)=1.984 ?
The general solution for sec(θ)=1.984 is θ=1.04253…+2pin,θ=2pi-1.04253…+2pin