What is the general solution for 2sec^2(x)-sec(x)-1=0 ?

The general solution for 2sec^2(x)-sec(x)-1=0 is x=2pin

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2sec^2(x)-sec(x)-1=0

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

x = 2 πn

Solution steps

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

Solve by substitution

sec (x) = 1, sec (x) = - \frac{1}{2}

sec (x) = 1 : x = 2 πn

sec (x) = - \frac{1}{2} :

No Solution

Combine all the solutions

x = 2 πn

4 tan (4 θ) = 4

sin (2 x) = \frac{( 10 m - 5 )}{2}

3 sin^{2} (θ) - 2 sin (θ) = 2

2 - sin (x) tan (x) = cos (x)

tan (2 x - \frac{n}{4}) = - 1, 0^{\circ} < x \leq 36 0^{\circ}

What is the general solution for 2sec^2(x)-sec(x)-1=0 ?
The general solution for 2sec^2(x)-sec(x)-1=0 is x=2pin