What is the general solution for 3sec(θ)+6=0 ?

The general solution for 3sec(θ)+6=0 is θ=(2pi)/3+2pin,θ=(4pi)/3+2pin

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3sec(θ)+6=0

3 sec (θ) + 6 = 0

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

Solution steps

3 sec (θ) + 6 = 0

Move

6

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

sin (x) - sin (x) \cdot cos (x) = 0, 0 \leq x \leq 2 π

8 sin (x) + 6 cos (x) = 8

4 sin (x) + 5 = 0

12 arctan (x) = 4 π

2 tan^{2} (x) - 5 tan (x) + 3 = 0

What is the general solution for 3sec(θ)+6=0 ?
The general solution for 3sec(θ)+6=0 is θ=(2pi)/3+2pin,θ=(4pi)/3+2pin