Prove that tanθ cotθ = 1?

We will use a trigonometric identity that tanθ = 1/cotθ

Answer: tanθ cotθ = 1

Explanation: 

We have to prove tanθ cotθ = 1

We need to start with LHS (Left-hand side) of the equation tanθ cotθ

As we know that cotθ = 1/ tanθ

cotθ = 1/tanθ in the LHS of our equation we get

tanθ cotθ =

tanθ ×1/ tanθ

= 1

= RHS.

Hence, proved that tanθ cotθ = 1.