What is the general solution for sec(y)=12 ?

The general solution for sec(y)=12 is y=1.48736…+2pin,y=2pi-1.48736…+2pin

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sec(y)=12

sec (y) = 12

y = 1.48736 \dots + 2 πn, y = 2 π - 1.48736 \dots + 2 πn

Degrees

y = 85.21980 \dots^{\circ} + 36 0^{\circ} n, y = 274.78019 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (y) = 12

Apply trig inverse properties

sec (y) = 12

General solutions for

sec (y) = 12

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

y = arcsec (12) + 2 πn, y = 2 π - arcsec (12) + 2 πn

y = arcsec (12) + 2 πn, y = 2 π - arcsec (12) + 2 πn

Show solutions in decimal form

y = 1.48736 \dots + 2 πn, y = 2 π - 1.48736 \dots + 2 πn

- sin (x) + 3 cos (x - \frac{π}{2}) = 1

cos (3 0^{\circ} + u) = 0.8177

cos (x - \frac{3 π}{2}) = \frac{1}{2}

1 - 3 cos (2 θ) = 0

x, sin (\frac{π}{x}) = y - 1

What is the general solution for sec(y)=12 ?
The general solution for sec(y)=12 is y=1.48736…+2pin,y=2pi-1.48736…+2pin