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

The general solution for 2tan(x)+sec^2(x)=0 is x=(3pi)/4+pin

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

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

x = \frac{3 π}{4} + πn

Solution steps

2 tan (x) + sec^{2} (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{3 π}{4} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn

cos (x) = \frac{1}{9}

sin (θ) + 0.069 = 0

tan (θ) = 1.3

tan (x) = 0.25

2 sec (x) sin (x) + 2 = 4 sin (x) + sec (x)

What is the general solution for 2tan(x)+sec^2(x)=0 ?
The general solution for 2tan(x)+sec^2(x)=0 is x=(3pi)/4+pin