What is the general solution for sec(x)=1.562641 ?

The general solution for sec(x)=1.562641 is x=0.87637…+2pin,x=2pi-0.87637…+2pin

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sec(x)=1.562641

sec (x) = 1.562641

x = 0.87637 \dots + 2 πn, x = 2 π - 0.87637 \dots + 2 πn

Degrees

x = 50.21248 \dots^{\circ} + 36 0^{\circ} n, x = 309.78751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = 1.562641

Apply trig inverse properties

sec (x) = 1.562641

General solutions for

sec (x) = 1.562641

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

x = arcsec (1.562641) + 2 πn, x = 2 π - arcsec (1.562641) + 2 πn

x = arcsec (1.562641) + 2 πn, x = 2 π - arcsec (1.562641) + 2 πn

Show solutions in decimal form

x = 0.87637 \dots + 2 πn, x = 2 π - 0.87637 \dots + 2 πn

cos (a) = - \frac{1}{2}

- 4 cos (2 x) + 4 sin (x) = 0

6 sin (θ) = 1

- 5 sin (y) = 0

2 cos (\frac{3 x - π}{6}) + 1 = 0, 0 < x < 2 π

What is the general solution for sec(x)=1.562641 ?
The general solution for sec(x)=1.562641 is x=0.87637…+2pin,x=2pi-0.87637…+2pin