Cosine of Points Worksheets
How to Find the Cosine of Points - When dealing with trigonometry, you are manipulating a right-angled triangle in various ways. However, there are different methods to find the cos of any right-angled triangle. One method is to find the cos value by using the law of sines. However, the law of cosines is not limited to right-angled triangles alone. If we start to derive the law of cosine, let us consider the Pythagoras theorem, i.e. a2 +b2 = c2. The theorem is designed for right-angled triangles, but the law of cosines isn’t. So, the Pythagoras theorem changes to a2 + b2- 2ab cosc = c2. The second method of finding the cosine of points is by using the sides of the right-angled triangle. The sides are hypotenuse, the side opposite to hypotenuse, and the side adjacent to the hypotenuse. To find the cosine value of the sides, you just need to divide the Adjacent side with hypotenuse, i.e., cosine = Adjacent/Hypotenuse.
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Basic Lesson
Guides students through solving Cosine of Points. cos θ = adjacent side/ hypotenuse Here, opposite side to T is AY, YT is adjacent side, AT is the hypotenuse.
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Intermediate Lesson
Demonstrates the concept of advanced skill while solving Cosine of Points.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Cosine of Points.
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Independent Practice 2
Students use Cosine of Points in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Cosine of Points.
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Crazy Times
At 12:34 on May 6, 1978, there was a peculiar lining up of dates and hours that will not happen again until the year 2078. On that day the numbers in the hour 12:34 were followed by the number Sequence of the month, day, and year for May 6, 1978, which reads 5/6/78. The resulting Sequence was 12345678.