What two sides of a right triangle will give you the following?
34. sin 0 <--(the zero with the line throught it)
35. Cos 0
36. Tan O
37. Sin 180 degrees
38. Cos 360 degrees
For all, one of the sides of the triangle is 1, the other is 0.
What is the factors of 8,12,and 16??
PLEASE HELP THANKS!
what are the two common multiples of the 6 numbers
4 and 6 2 and 5 2 and 3
To find the values for trigonometric functions such as sine, cosine, and tangent, we need to use a right triangle and its sides. In a right triangle, the two sides that are relevant to these functions are the opposite side and the adjacent side to a given angle.
Here's how you can find the values for the given trigonometric functions using a right triangle:
34. To find sin 0, you need to determine the ratio of the length of the side opposite to the angle 0 to the length of the hypotenuse of the right triangle. In this case, since one of the sides is given as 0, we can say that the opposite side is 0, and the hypotenuse is 1. Therefore, sin 0 = 0/1 = 0.
35. To find cos 0, you need to determine the ratio of the length of the side adjacent to the angle 0 to the length of the hypotenuse of the right triangle. In this case, since one of the sides is given as 1, we can say that the adjacent side is 1, and the hypotenuse is 1. Therefore, cos 0 = 1/1 = 1.
36. To find tan 0, you need to determine the ratio of the length of the side opposite to the angle 0 to the length of the side adjacent to the angle 0. In this case, since one of the sides is given as 0, we can say that the opposite side is 0, and the adjacent side is 1. Therefore, tan 0 = 0/1 = 0.
37. To find sin 180 degrees, you need to consider a right triangle where the angle is 180 degrees. In this case, the opposite side will be the side directly across from the angle, and the hypotenuse will be the longest side of the triangle. Generally, a right triangle with a 180-degree angle is a straight line, so its opposite side is 0, and the hypotenuse is 1 (since it's a unit line segment). Therefore, sin 180 degrees = 0/1 = 0.
38. To find cos 360 degrees, you need to consider a right triangle where the angle is 360 degrees. Similar to the previous case, a 360-degree angle is also a full revolution, resulting in a straight line. Therefore, the adjacent side would be 1, and the hypotenuse would be 1. Therefore, cos 360 degrees = 1/1 = 1.
Moving on to the next question:
The factors of a number refer to the numbers that divide evenly into that given number.
For example, let's find the factors of 8:
- The factors of 8 are 1, 2, 4, and 8, as these numbers divide evenly into 8.
Similarly, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Lastly, the factors of 16 are 1, 2, 4, 8, and 16.
Now, let's find the common multiples of the given pairs:
To find the common multiples of 4 and 6, we can list their multiples and find the ones they have in common:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
- Multiples of 6: 6, 12, 18, 24, 30, 36, ...
From this list, we can see that the common multiples of 4 and 6 are 12 and 24.
For 2 and 5, the common multiples are 10, 20, 30, 40, ...
For 2 and 3, the common multiples are 6, 12, 18, 24, ...