Question

Question #9637f

Answer 1

`tan x+tan2x=tan3x` is not a true relationship, and it violates the laws of mathematics. Therefore, it cannot be proved.

Explanation:

For this "proof," we will use substitution of a sample angle value to test with. Suppose `x = 30^@` --> `2x = 60^@`, --> and `3x = 90^@`.

If the given identity is true, then we must have:

`tan 30 + tan 60 = tan 90`

`sqrt3/3 + sqrt3 = (4sqrt3)/3`

That is not true, because `tan 90` is indefinite.

Therefore, this identity is not true.

I hope that helps!