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

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

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(tan(x)+1)(cos(x)-1)=0

(tan (x) + 1) (cos (x) - 1) = 0

x = \frac{3 π}{4} + πn, x = 2 πn

Solution steps

(tan (x) + 1) (cos (x) - 1) = 0

Solving each part separately

tan (x) + 1 = 0 or cos (x) - 1 = 0

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

cos (x) - 1 = 0 : x = 2 πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = 2 πn

cot (θ) = - \frac{1}{3}

32 cos (θ) + 3 = 6

- 8 cos (θ) - 4 = - 4

2 cot (x) = 0

4 sinh (x^{3}) = 0

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