The length of the opposite side is the same as the length of the hypotenuse (they are the same side in this case), the ratio is:
sin(90 degrees) = 1 / 1 = 1
Thus, sin(90 degrees) equals 1.
In trigonometry, the sine function (abbreviated as sin) is defined based on the angles of a right-angled triangle.
Specifically, for a given angle θ in a right-angled triangle, the sine of θ is defined as the ratio of the length of the side opposite θ to the length of the hypotenuse (the longest side of the triangle, which is always opposite the right angle).
In a standard coordinate system, consider a right-angled triangle where one of the angles is 90 degrees (a right angle).
This angle is often denoted as π/2 radians in radians or 90 degrees in degrees.
In this triangle, the side opposite the angle θ (the side opposite the right angle) is the vertical side, and the hypotenuse is the longest side.
For a right-angled triangle with a 90-degree angle, the sine of θ is defined as:
sin(90 degrees) = length of opposite side / length of hypotenuse
Since the length of the opposite side is the same as the length of the hypotenuse (they are the same side in this case), the ratio is:
sin(90 degrees) = 1 / 1 = 1
Thus, sin(90 degrees) equals 1.
In radians, sin(π/2 radians) is also equal to 1 since it is the same angle as 90 degrees but measured in radians.
To learn more trigonometry click:
#SPJ6
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98
89
87
85
34
Answer:
Option A (89).
Step-by-step explanation:
Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!
Answer:
87
Step-by-step explanation:
Answer:
21.5^2
Step-by-step explanation: