What is the general solution for 4sec(θ)+1=9 ?

The general solution for 4sec(θ)+1=9 is θ= pi/3+2pin,θ=(5pi)/3+2pin

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4sec(θ)+1=9

4 sec (θ) + 1 = 9

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

Solution steps

4 sec (θ) + 1 = 9

Move

1

to the right side

4 sec (θ) = 8

Divide both sides by

4

sec (θ) = 2

General solutions for

sec (θ) = 2

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

4 tan^{2} (x) - 12 = 0

tan (θ) - \frac{1}{3} = 0

tan (\frac{x}{2} + \frac{π}{3}) = 1

- cot (x) + csc (x) = 1

cot (\frac{x}{2}) = 0

What is the general solution for 4sec(θ)+1=9 ?
The general solution for 4sec(θ)+1=9 is θ= pi/3+2pin,θ=(5pi)/3+2pin