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

The general solution for (cot(x))(tan(x)-1)=0 is x= pi/4+pin

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(cot(x))(tan(x)-1)=0

(cot (x)) (tan (x) - 1) = 0

x = \frac{π}{4} + πn

Solution steps

(cot (x)) (tan (x) - 1) = 0

Solving each part separately

cot (x) = 0 or tan (x) - 1 = 0

cot (x) = 0 : x = \frac{π}{2} + πn

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

Combine all the solutions

x = \frac{π}{2} + πn, x = \frac{π}{4} + πn

Since the equation is undefined for:

\frac{π}{2} + πn

x = \frac{π}{4} + πn

10 tan (θ) sec (θ) = 10 cot (θ) csc (θ)

arctan (x) = \frac{( 2 \cdot 1.8 )}{[ ( 3170 + 1.7 ) - 1 ]}

cos (4 x) + sin (\frac{x}{2}) = 0

2 sin^{2} (θ) - 5 sin (θ) = 3

cos (3 x - \frac{π}{4}) = \frac{1}{2}, 0 \leq x \leq π

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