Question

1. What is the hypotenuse?

2. What is sin(A)?
3. What is cos(A)?
4. What is tan(A)?

Answer 1

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse).

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as "tan"

Explanation:

Answer 2

1. Hypothenuse is the longest side
The hypothenuse is 13
2. Sin = opposite/hypothenuse
Opposite = 5, hypothenuse = 13
The sin = 5/13
3. Cos = adjacent/hypothenuse
Adj = 12, hypothenuse = 13
The cos = 12/13
4. Tan = opposite/adjacent
Opposite = 5, adjacent = 12
The tan = 5/12