For any angle in the triangle that is not a right angle, the opposite side is the side does not touch the angle and the adjacent side touches it and is perpendicular to the opposite side. The third side is the longest side and is the hypotenuse
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Each triangle has three sides and three vertices. The opposite side of a triangle is the side that is not adjacent to the specified vertex. The other two sides are adjacent sides to the specified vertex. Circular definition? Yes - Here is the formal definition... Given a triangle with vertices A, B, and C, the side AB is adjacent to the angles ABC and BAC, and it is opposite to the angle ACB.
The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.
opposite and adjacent
There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).
In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.