Question

Why is tan(A) × cot(A) = 1? Need proof.

Answer 1

hey here is ur answer :-

LHS :-

= tanA * cotA


put the value of cotA ( cotA = 1/tAnA)


= tanA * 1/tanA


= 1 ( tanA is canceled by tanA


= RHS = LHS (proved)

Answer 2

tan (A) =
$\frac{sin \:a}{cos \: a?}$
$cot \: a = \frac{cos\: a \: }{sin \: a?}$
$tan \: a \times cot \: a = \frac{sin \: a}{cos \:a \ } \times \frac{cos \: a}{sin \: a}$
after cutting ,we get 1
hence prooved
hope it helps u
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