What is the general solution for solvefor x,tan(x)=cot(x) ?

The general solution for solvefor x,tan(x)=cot(x) is x= pi/4+pin,x=(3pi)/4+pin

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solvefor x,tan(x)=cot(x)

solve for

x, tan (x) = cot (x)

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

Solution steps

tan (x) = cot (x)

Subtract

cot (x)

from both sides

tan (x) - cot (x) = 0

Rewrite using trig identities

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

Solve by substitution

cot (x) = 1, cot (x) = - 1

cot (x) = 1 : x = \frac{π}{4} + πn

cot (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

arccos (x) = \frac{5}{6}

5 cos (x) = - 2 sin^{2} (x) + 4, 0 \leq x \leq 2 π

4^{\frac{1}{3}} sec (x) = 4 (\frac{1}{4 ^{\frac{1}{3}}}) csc (x)

\frac{1 + tan ^{2} ( x )}{1 + tan ^{2} ( x )} = 1 - sin^{2} (x)

θ, tan (θ) = \frac{2 3}{2}

What is the general solution for solvefor x,tan(x)=cot(x) ?
The general solution for solvefor x,tan(x)=cot(x) is x= pi/4+pin,x=(3pi)/4+pin