What is the general solution for tan(x)+cot(x)=2 ?

The general solution for tan(x)+cot(x)=2 is x= pi/4+pin

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tan(x)+cot(x)=2

tan (x) + cot (x) = 2

x = \frac{π}{4} + πn

Solution steps

tan (x) + cot (x) = 2

Subtract

2

from both sides

tan (x) + cot (x) - 2 = 0

Rewrite using trig identities

- 2 + cot (x) + \frac{1}{cot ( x )} = 0

Solve by substitution

cot (x) = 1

cot (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

4 cos^{2} (x) - 4 sin (x) - 5 = 0

x, tan (x^{2} + y^{2}) = 1

2 tan (x) + sec (x) = 0

2 sin (x) cos (x) - 7 cos (x) = 0

3 sin (x) = cos (x)

What is the general solution for tan(x)+cot(x)=2 ?
The general solution for tan(x)+cot(x)=2 is x= pi/4+pin