We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:
From the figure we can see that the tangent can be expressed as:
We can start then from tan(t) and will try to arrive to -tan(-t):
We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
Answer:
Step-by-step explanation:
Slope of line A =
=
= 3
Slope of line B =
=
Slope of line C =
=
5). Slope of the hypotenuse of the right triangle =
=
=
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse =
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse =
=
Given triangle may lie on the line C.
8). Slope of hypotenuse =
=
Given triangle may lie on the line B.
9). Slope of hypotenuse =
=
Given triangle may lie on the line B.
10). Slope of hypotenuse =
= 3
Given triangle may lie on the line A.
