What is the general solution for sec(x)= 5/4 ?

The general solution for sec(x)= 5/4 is x=0.64350…+2pin,x=2pi-0.64350…+2pin

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sec(x)= 5/4

sec (x) = \frac{5}{4}

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = \frac{5}{4}

Apply trig inverse properties

sec (x) = \frac{5}{4}

General solutions for

sec (x) = \frac{5}{4}

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

x = arcsec (\frac{5}{4}) + 2 πn, x = 2 π - arcsec (\frac{5}{4}) + 2 πn

x = arcsec (\frac{5}{4}) + 2 πn, x = 2 π - arcsec (\frac{5}{4}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

sin (x) tan (x) = - 9 tan (x)

cos (x) - cos (3 x) = 0

5 cos (x) tan (x) + 3 tan (x) = 0

2 sec (θ) + 2 = 6

4 cos (x) tan (x) = 3 tan (x)

What is the general solution for sec(x)= 5/4 ?
The general solution for sec(x)= 5/4 is x=0.64350…+2pin,x=2pi-0.64350…+2pin