Respuesta :
Answer:
In order to find out the tangent value of 45 degrees, we need to divide the opposite side to the angle by the adjacent side. Since both the opposite and adjacent sides of this triangle are the same, we can see that tan(45) is equal to 1.
Step-by-step explanation:
In a special right triangle, the base and the perpendicular are the same. Then the tangent of 45° is one.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
We know that in a special right-angle triangle, both acute angles are equal to each other that is 45 degrees.
If the angles are equal then their opposites sides are also equal.
And if two sides are equal to a triangle then the right triangle is an isosceles right triangle.
In an isosceles right triangle, the perpendicular and the base are equal.
P = B
Then the tangent of 45° will be given as
[tex]\rm tan 45^o = 1[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177