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