A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
How do you prove tan (2x) = (2tan (x) ) / (1-tan2 x) ?
Prove tan(2x) = 2tan(x)/ 1- tan2 (x)
Answer: LHS = 2tan(x) / 1- tan2(x) = (2tan (x) ) / (1-tan2 x) = RHS
As we know that tan(A+B) = tanA+tanB/ 1- tan(A)tan(B)
Explanation: Given that LHS = tan(2x)
Therefore, tan(2x) = tan (x+x)
we know that tan(a+b) = (tan a + tan b) / 1- (tan a .tan b)
using the above formula we have
tan (2x) =
= tan(x)+ tan(x) / 1- tan(x) tan(x)
= 2tan(x)/ 1- tan2(x)
= RHS
Hence Proved 2tan(x) / 1- tan2(x) = (2tan (x) ) / (1-tan2 x) LHS=RHS
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