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

The general solution for sec(x)=4 is x=1.31811…+2pin,x=2pi-1.31811…+2pin

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sec(x)=4

sec (x) = 4

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

Degrees

x = 75.52248 \dots^{\circ} + 36 0^{\circ} n, x = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = 4

Apply trig inverse properties

sec (x) = 4

General solutions for

sec (x) = 4

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

x = arcsec (4) + 2 πn, x = 2 π - arcsec (4) + 2 πn

x = arcsec (4) + 2 πn, x = 2 π - arcsec (4) + 2 πn

Show solutions in decimal form

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

2 sin^{2} (x) - 3 sin (x) = 0

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

sec (x) - tan (x) = cos (x)

- 2 sin (x) = - sin (x) cos (x)

\frac{0.9}{cos ( x )} + (0.7 \cdot sin (x)) = 1.1

What is the general solution for sec(x)=4 ?
The general solution for sec(x)=4 is x=1.31811…+2pin,x=2pi-1.31811…+2pin