Solve tana/1-cota cota/1-tana=1 tana cota - ScanMath

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Type your math problem... tana/1-cota cota/1-tana=1 tana cota

Question

Solve the equation

a \in \emptyset

Alternative Form

No solution

Evaluate

\frac{tan ( a )}{1} - cot (a) \times \frac{cot ( a )}{1} - tan (a) = 1 \times tan (a) cot (a)

Find the domain

More Steps

\frac{tan ( a )}{1} - cot (a) \times \frac{cot ( a )}{1} - tan (a) = 1 \times tan (a) cot (a), a \neq = \frac{kπ}{2}, k \in Z

Simplify

More Steps

- cot^{2} (a) = 1 \times tan (a) cot (a)

Multiply the terms

- cot^{2} (a) = tan (a) cot (a)

Move the expression to the left side

- cot^{2} (a) - tan (a) cot (a) = 0

Factor the expression

More Steps

- cot (a) (cot (a) + tan (a)) = 0

Elimination the left coefficient

cot (a) (cot (a) + tan (a)) = 0

Separate the equation into 2 possible cases

cot (a) = 0 cot (a) + tan (a) = 0

Solve the equation

More Steps

a = \frac{π}{2} + kπ, k \in Z cot (a) + tan (a) = 0

Solve the equation

More Steps

a = \frac{π}{2} + kπ, k \in Z a \in / R

Find the union

a = \frac{π}{2} + kπ, k \in Z

Check if the solution is in the defined range

a = \frac{π}{2} + kπ, k \in Z, a \neq = \frac{kπ}{2}, k \in Z

Solution

a \in \emptyset

Alternative Form

No solution

Show Solution

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