What is the general solution for sec(x)= 3/2 ?

The general solution for sec(x)= 3/2 is x=0.84106…+2pin,x=2pi-0.84106…+2pin

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sec(x)= 3/2

sec (x) = \frac{3}{2}

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

Solution steps

sec (x) = \frac{3}{2}

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

sin (2 x) = 3

x, cos (x + y) = 0

θ, sin (2 θ) = \frac{1}{2}

sin (x) + cos (x) = \frac{6}{2}

2 cos^{2} (\frac{x}{3}) + 3 sin (\frac{x}{3}) - 3 = 0

What is the general solution for sec(x)= 3/2 ?
The general solution for sec(x)= 3/2 is x=0.84106…+2pin,x=2pi-0.84106…+2pin