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

The general solution for cos(x)-sec(x)=0 is x=2pin,x=pi+2pin

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cos(x)-sec(x)=0

cos (x) - sec (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

cos (x) - sec (x) = 0

Rewrite using trig identities

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

Solve by substitution

sec (x) = 1, sec (x) = - 1

sec (x) = 1 : x = 2 πn

sec (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

2 + 7 cos (x) = 4 sin^{2} (x)

4 arccos (x) = π

2 sin^{2} (x) + 2 = 7 cos (x)

cos (2 x - 3) = 0

4 cot^{2} (θ) - 9 = 0

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