Question #9637f

Question

Question #9637f

1 Answer

Impact of this question

987 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-17T03:36:10

$tan x + tan 2 x = tan 3 x$ $tan x+tan2x=tan3x$ 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 $x = 30^{\circ}$ $x = 30^@$ --> $2 x = 60^{\circ}$ $2x = 60^@$ , --> and $3 x = 90^{\circ}$ $3x = 90^@$ .

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

$tan 30 + tan 60 = tan 90$ $tan 30 + tan 60 = tan 90$

$\frac{\sqrt{3}}{3} + \sqrt{3} = \frac{4 \sqrt{3}}{3}$ $sqrt3/3 + sqrt3 = (4sqrt3)/3$

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

Therefore, this identity is not true.

I hope that helps!

Science

Math

Humanities

... and beyond

Question #9637f

1 Answer

Explanation:

Related questions

Impact of this question