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

The general solution for (cos(θ)+1)(tan(θ)+1)=0 is θ=pi+2pin,θ=(3pi)/4+pin

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(cos(θ)+1)(tan(θ)+1)=0

(cos (θ) + 1) (tan (θ) + 1) = 0

θ = π + 2 πn, θ = \frac{3 π}{4} + πn

Solution steps

(cos (θ) + 1) (tan (θ) + 1) = 0

Solving each part separately

cos (θ) + 1 = 0 or tan (θ) + 1 = 0

cos (θ) + 1 = 0 : θ = π + 2 πn

tan (θ) + 1 = 0 : θ = \frac{3 π}{4} + πn

Combine all the solutions

θ = π + 2 πn, θ = \frac{3 π}{4} + πn

(tan^{2} (3 x)) (csc (3 x)) + 1 = - 1 \cdot sec^{2} (3 x)

\frac{4 sin ( x ) - 3 cos ( x )}{3 sin ( x ) + 4 cos ( x )} = 3

7 = 10 sin (40 (0 - h)) + 17

sin (2 x) = cos (x), 0 \leq x < 2 π

sec (x) = - \frac{5}{3}

What is the general solution for (cos(θ)+1)(tan(θ)+1)=0 ?
The general solution for (cos(θ)+1)(tan(θ)+1)=0 is θ=pi+2pin,θ=(3pi)/4+pin