Cos 37 degrees
This Trigonometric article contains Value of Cos 37 degrees in fraction which is important for School Level exams. In addition, The cosine of an angle is a mathematical function that represents the ratio of the side adjacent to the angle to the hypotenuse in a right triangle. It is abbreviated as “cos” and is often written as a subscript, such as cos 37°.
To find the value of cos 37°, you would need to use a calculator or a table of trigonometric functions. The value of cos 37° is approximately 0.819.
Cos 37 degrees in fraction
You can also use a calculator or a computer program to find the value of cos 37° more precisely. For example, using a calculator with a high level of precision, the value of cos 37° is approximately 0.819218.
Alternatively, you can use a table of trigonometric functions or a trigonometry textbook to find the value of cos 37°. These resources often provide the values of trigonometric functions in fraction form, rounded to a certain number of decimal places.
- Let us consider a right-angled triangle with sides as a=4,b=3 and c=5 units. Here a, b, c are Pythagorean triples, which follow the relation a2+b2=c2.
- As can be seen in the given figure, in this case, the angle is B= 37° or B=53°, which are also complementary angles. Complementary angles are those two angles whose sum is 90°.
- Cos (angle) = base/ hypotenuse
- We can see that the value of base = 3 and hypotenuse = 5 for angle A. For angle B base= 4 and hypotenuse= 5
- So, cos A= cos 53°= 3/5
- Cos B = cos 37° = 4/5
- We also know that sin (90°– A) = cos A. Therefore, cos 53° = sin 37°= 3/5 and cos 37° = sin 53° =4/5.
- Now, we will move on to finding the values of tan 37° and tan 53°. We are aware of the fact that tan (angle) = perpendicular/ base.
- For angle A, perpendicular = 4 and base = 3 whereas for angle B, perpendicular= 3 and base= 4. So, tan 53° = 4/3 and tan 37° = 3/4.
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