What is the general solution for sec(x)=-5/2 ?

The general solution for sec(x)=-5/2 is x=1.98231…+2pin,x=-1.98231…+2pin

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sec(x)=-5/2

sec (x) = - \frac{5}{2}

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn

Degrees

x = 113.57817 \dots^{\circ} + 36 0^{\circ} n, x = - 113.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = - \frac{5}{2}

Apply trig inverse properties

sec (x) = - \frac{5}{2}

General solutions for

sec (x) = - \frac{5}{2}

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

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

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

Show solutions in decimal form

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn

sin (4 θ) = 0

csc^{2} (θ) - 2 = 0

2 sin^{2} (x) + 11 cos (x) = 7

sin (A) = \frac{5}{13}

2 cos (x) = - 2

What is the general solution for sec(x)=-5/2 ?
The general solution for sec(x)=-5/2 is x=1.98231…+2pin,x=-1.98231…+2pin