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

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

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sec(x)= 4/3

sec (x) = \frac{4}{3}

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

Degrees

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

Solution steps

sec (x) = \frac{4}{3}

Apply trig inverse properties

sec (x) = \frac{4}{3}

General solutions for

sec (x) = \frac{4}{3}

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

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

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

Show solutions in decimal form

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

4 cos (x) + 3 cos (x) = 5

4 sin (2 x) tan (x) - tan (x) = 0

3 sin (x) = 3 \cdot sin (x) + 3 cos (x) + 3 sin (x)

csc (θ) + 1 = 0, (0, 2 π)

x, y^{2} = - 2 tan (2 x)

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