how do you solve 2nd cos 6/11 (my calculator doesn't have 2nd function0
some calculators have a key called "INV"
try
INV
COS
(6/11)
=
You should get appr. 56.944
If you have a key called "cos" , then at that keyt on the body of your calculator you should see cos^-1
in that case your calculator is able to take the inversecosine, sometimes called arc-cosine.
found it, thanks!
To solve the equation, "2nd cos 6/11", you need to understand the concept of the inverse cosine function.
The inverse cosine function, usually denoted as "cos^(-1)" or "arccos", is the mathematical operation that gives you the angle whose cosine value is a given number. In this case, you want to find the angle that has a cosine value of 6/11.
If your calculator doesn't have a dedicated "2nd" function key, you can still find the answer by using the properties of the cosine function and basic algebra. Here are the steps:
1. Start by writing the equation as "cos^(-1)(6/11) = x", where "x" represents the angle you are trying to find.
2. Use the property that "cos^(-1)(a) = b" can be rewritten as "cos(b) = a". So, we have "cos(x) = 6/11".
3. Since the cosine function is the ratio of the adjacent side to the hypotenuse in a right triangle, you can create a right triangle where the adjacent side is 6 and the hypotenuse is 11.
4. Use the Pythagorean theorem to find the third side of the triangle. In this case, the opposite side will be √(11^2 - 6^2) = √(121 - 36) = √85.
5. Now you have a right triangle with known sides: 6 for the adjacent side and √85 for the opposite side.
6. Use the angle definition of cosine, which is "cos(x) = adjacent/hypotenuse". In this case, it becomes "cos(x) = 6/11".
7. Use the known values to calculate the angle. The angle "x" is the arccosine of (6/11): cos^(-1)(6/11).
8. To compute the value of cos^(-1)(6/11), you can use a scientific calculator, an online calculator, or a mathematical software. These tools usually have the inverse trigonometric functions.
By following these steps, you can find the value of the angle "x" in the equation "2nd cos 6/11" even if your calculator doesn't have the "2nd" function.