What is the general solution for tan(θ)(sec(θ)-1)=0 ?

The general solution for tan(θ)(sec(θ)-1)=0 is θ=pin

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tan(θ)(sec(θ)-1)=0

tan (θ) (sec (θ) - 1) = 0

θ = πn

Solution steps

tan (θ) (sec (θ) - 1) = 0

Solving each part separately

tan (θ) = 0 or sec (θ) - 1 = 0

tan (θ) = 0 : θ = πn

sec (θ) - 1 = 0 : θ = 2 πn

Combine all the solutions

θ = πn, θ = 2 πn

Merge Overlapping Intervals

θ = πn

tan (x) + sec (x) = 2

sin (x) = \frac{4}{5}, \frac{π}{2} \leq x \leq π

2 - 2 cosh (t - 2) = 0

cos (x) = \frac{1}{37}

\frac{sin ( 2 x )}{cos ( x )} = 4 + sin (2 x) \cdot tan (x)

What is the general solution for tan(θ)(sec(θ)-1)=0 ?
The general solution for tan(θ)(sec(θ)-1)=0 is θ=pin