What is the general solution for sec(θ)=cos(θ) ?

The general solution for sec(θ)=cos(θ) is θ=2pin,θ=pi+2pin

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sec(θ)=cos(θ)

sec (θ) = cos (θ)

θ = 2 πn, θ = π + 2 πn

Solution steps

sec (θ) = cos (θ)

Subtract

cos (θ)

from both sides

sec (θ) - cos (θ) = 0

Rewrite using trig identities

- \frac{1}{sec ( θ )} + sec (θ) = 0

Solve by substitution

sec (θ) = 1, sec (θ) = - 1

sec (θ) = 1 : θ = 2 πn

sec (θ) = - 1 : θ = π + 2 πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn

x, sin (x) + 1 = 0

\frac{8}{sin ( 3 8 ^{\circ} )} = \frac{6}{sin ( a )}

28 cos (θ) = 4, 0^{\circ} \leq θ < 36 0^{\circ}

6 sin (θ) + 2 = sin (θ)

cos (θ) = - \frac{19}{17}

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