What is the general solution for sec(t)=3 ?

The general solution for sec(t)=3 is t=1.23095…+2pin,t=2pi-1.23095…+2pin

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sec(t)=3

sec (t) = 3

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

Degrees

t = 70.52877 \dots^{\circ} + 36 0^{\circ} n, t = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (t) = 3

Apply trig inverse properties

sec (t) = 3

General solutions for

sec (t) = 3

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

t = arcsec (3) + 2 πn, t = 2 π - arcsec (3) + 2 πn

t = arcsec (3) + 2 πn, t = 2 π - arcsec (3) + 2 πn

Show solutions in decimal form

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

tan (θ) = - \frac{12}{5}

x, sin (2 x) = sin (x)

- 3 cos (2 θ) + 7 cos (θ) - 10 = - 5

3 cos (2 θ) = - 9 cos (θ) - 6

5 sin (x) cos (x) + cos (x) = 0

What is the general solution for sec(t)=3 ?
The general solution for sec(t)=3 is t=1.23095…+2pin,t=2pi-1.23095…+2pin