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

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

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

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

x = 2 πn

Solution steps

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

Rewrite using trig identities

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

Solve by substitution

sec (x) = 1, sec (x) = - \frac{1}{2} + i \frac{3}{2}, sec (x) = - \frac{1}{2} - i \frac{3}{2}

sec (x) = 1 : x = 2 πn

sec (x) = - \frac{1}{2} + i \frac{3}{2} :

No Solution

sec (x) = - \frac{1}{2} - i \frac{3}{2} :

No Solution

Combine all the solutions

x = 2 πn

sin (x) \cdot sec (x) = 0

cos (x) = - 0.1235, 0 \leq x \leq 2 π

sin (\frac{3 π}{x}) = 0

x, (sin (x) - lo g_{3} (12)) = 20

tan (θ) = - \frac{7}{5}, \frac{π}{2} < θ < π, cos (2 θ)

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