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

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

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

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

x = 2 πn

Solution steps

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

Solve by substitution

sec (x) = 1, sec (x) = 0

sec (x) = 1 : x = 2 πn

sec (x) = 0 :

No Solution

Combine all the solutions

x = 2 πn

4 cos^{2} (x) - 2 cos (x) - 3 = 0

3 cos (x) = \frac{6}{π}

6 cos (2 θ) = 18 cos (θ) - 12

cos (\frac{2}{3} x - \frac{π}{2}) = 1

tan^{2} (x) sin (x) = sin (x), 0 \leq x \leq 2 π

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