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

The general solution for sec^2(x)-2tan(x)=0 is x= pi/4+pin

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

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

x = \frac{π}{4} + πn

Solution steps

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

Rewrite using trig identities

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

Solve by substitution

tan (x) = 1

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

2 cos (2 x) + 2 = 0

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

cos (θ) = \frac{1}{6}

2 sin (x) - 1 = csc (x)

sin^{s i n (x)} (x) = 2

What is the general solution for sec^2(x)-2tan(x)=0 ?
The general solution for sec^2(x)-2tan(x)=0 is x= pi/4+pin