What is the general solution for 3sec(θ)-7=0 ?

The general solution for 3sec(θ)-7=0 is θ=1.12788…+2pin,θ=2pi-1.12788…+2pin

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3sec(θ)-7=0

3 sec (θ) - 7 = 0

θ = 1.12788 \dots + 2 πn, θ = 2 π - 1.12788 \dots + 2 πn

Solution steps

3 sec (θ) - 7 = 0

Move

7

to the right side

3 sec (θ) = 7

Divide both sides by

3

sec (θ) = \frac{7}{3}

Apply trig inverse properties

θ = arcsec (\frac{7}{3}) + 2 πn, θ = 2 π - arcsec (\frac{7}{3}) + 2 πn

Show solutions in decimal form

θ = 1.12788 \dots + 2 πn, θ = 2 π - 1.12788 \dots + 2 πn

cos (θ) (cos (θ) - 2) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

sin (3 9^{\circ}) + sin (2 1^{\circ}) = sin (a^{\circ})

arctan (4 x - 4) = - 1

tan^{2} (x + \frac{π}{6}) = 3

cos (θ) cos (2 θ) + sin (θ) sin (2 θ) = \frac{3}{2}

What is the general solution for 3sec(θ)-7=0 ?
The general solution for 3sec(θ)-7=0 is θ=1.12788…+2pin,θ=2pi-1.12788…+2pin