Question

Iven right triangle XYZ, what is the value of tan(60°)?

Answer 1

sqrt of 3......................................

Answer 2

The value of
`\tan (60^(\circ))` is
`√(3)`

Explanation:

We need to find the value of
`\tan (60^(\circ))`

It can be calculated by the triangle XYZ as shown in figure-1

Since, the tangent is ratio of the opposite side to the adjacent.

`\tan\theta = (opposite)/(adjacent)`

In the triangle XYZ

`\tan(60^(\circ)) = (XZ)/(ZY)`

`\tan(60^(\circ)) = (√(3))/(1)`

`\tan(60^(\circ)) = √(3)`

Therefore, the value of
`\tan (60^(\circ))` is
`√(3)`