What is the general solution for sec(x)=1.86798 ?

The general solution for sec(x)=1.86798 is x=1.00588…+2pin,x=2pi-1.00588…+2pin

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sec(x)=1.86798

sec (x) = 1.86798

x = 1.00588 \dots + 2 πn, x = 2 π - 1.00588 \dots + 2 πn

Degrees

x = 57.63318 \dots^{\circ} + 36 0^{\circ} n, x = 302.36681 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = 1.86798

Apply trig inverse properties

sec (x) = 1.86798

General solutions for

sec (x) = 1.86798

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

x = arcsec (1.86798) + 2 πn, x = 2 π - arcsec (1.86798) + 2 πn

x = arcsec (1.86798) + 2 πn, x = 2 π - arcsec (1.86798) + 2 πn

Show solutions in decimal form

x = 1.00588 \dots + 2 πn, x = 2 π - 1.00588 \dots + 2 πn

2 tan^{2} (x) - 7 sec (x) + 5 = 0

cos (θ) = - \frac{3}{7}

\frac{1}{tan ( x )} + \frac{cos ^{2} ( x )}{sin ( x )} = 0

1 sin (2 5^{\circ}) = 1.506 sin (x)

\frac{1}{2} tan (2 θ) = tan (θ)

What is the general solution for sec(x)=1.86798 ?
The general solution for sec(x)=1.86798 is x=1.00588…+2pin,x=2pi-1.00588…+2pin