What is the general solution for 2sec(θ)+3=0 ?

The general solution for 2sec(θ)+3=0 is θ=2.30052…+2pin,θ=-2.30052…+2pin

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2sec(θ)+3=0

2 sec (θ) + 3 = 0

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

Solution steps

2 sec (θ) + 3 = 0

Move

3

to the right side

2 sec (θ) = - 3

Divide both sides by

2

sec (θ) = - \frac{3}{2}

Apply trig inverse properties

θ = arcsec (- \frac{3}{2}) + 2 πn, θ = - arcsec (- \frac{3}{2}) + 2 πn

Show solutions in decimal form

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

3 sec^{2} (x) - 5 tan (x) = 3

sin (2 x) cos (6 x) - cos (2 x) sin (6 x) = - 0.55

\frac{1}{cos ( x )} = - 1

3 tan^{3} (θ) - tan (θ) = 3 tan^{2} (θ) - 1

\frac{sin ( ( 2 \cdot 5 + 1 ) \cdot \frac{w}{2} )}{sin ( \frac{w}{2} )} = 0

What is the general solution for 2sec(θ)+3=0 ?
The general solution for 2sec(θ)+3=0 is θ=2.30052…+2pin,θ=-2.30052…+2pin