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

The general solution for (tan(θ)-1)(cos(θ)-1)=0 is θ= pi/4+pin,θ=2pin

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(tan(θ)-1)(cos(θ)-1)=0

(tan (θ) - 1) (cos (θ) - 1) = 0

θ = \frac{π}{4} + πn, θ = 2 πn

Solution steps

(tan (θ) - 1) (cos (θ) - 1) = 0

Solving each part separately

tan (θ) - 1 = 0 or cos (θ) - 1 = 0

tan (θ) - 1 = 0 : θ = \frac{π}{4} + πn

cos (θ) - 1 = 0 : θ = 2 πn

Combine all the solutions

θ = \frac{π}{4} + πn, θ = 2 πn

cos (x) = \frac{16}{20}

cos (2 x) + 10 sin^{2} (x) = 7

cos (x) = - 3

2 cos (2 x) + 3 cos (x) + 1 = 0

sin (2 x) = - \frac{4}{5}

What is the general solution for (tan(θ)-1)(cos(θ)-1)=0 ?
The general solution for (tan(θ)-1)(cos(θ)-1)=0 is θ= pi/4+pin,θ=2pin