What is the general solution for sqrt(2)=sec(θ) ?

The general solution for sqrt(2)=sec(θ) is θ= pi/4+2pin,θ=(7pi)/4+2pin

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sqrt(2)=sec(θ)

2 = sec (θ)

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

Solution steps

2 = sec (θ)

Switch sides

sec (θ) = 2

General solutions for

sec (θ) = 2

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

sin (x) = \frac{1}{8}, sin (2 x)

x, csc (x) = 2

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

9 (cos (a))^{2} - 9 (sin (a))^{2} = 0

1 - 2 cos^{2} (x) = 0, 0 \leq x \leq 2 π

What is the general solution for sqrt(2)=sec(θ) ?
The general solution for sqrt(2)=sec(θ) is θ= pi/4+2pin,θ=(7pi)/4+2pin