What is the general solution for 3sec(θ)+5=-1 ?

The general solution for 3sec(θ)+5=-1 is θ=(2pi)/3+2pin,θ=(4pi)/3+2pin

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3sec(θ)+5=-1

3 sec (θ) + 5 = - 1

θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Solution steps

3 sec (θ) + 5 = - 1

Move

5

to the right side

3 sec (θ) = - 6

Divide both sides by

3

sec (θ) = - 2

General solutions for

sec (θ) = - 2

θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

csc (x) + 1 = cot (x)

3 sin (2 θ) - 2 sin (θ) = 0

3 csc (\frac{π}{2} x) = 2

cos (x) - 2 cos^{2} (x) - 1 = 0

cos (2 x) = \frac{2}{3}

What is the general solution for 3sec(θ)+5=-1 ?
The general solution for 3sec(θ)+5=-1 is θ=(2pi)/3+2pin,θ=(4pi)/3+2pin