Why did you need to ask? How to calculate cos^4(10)?

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In summary, the conversation is about a person seeking help with understanding and using the cosine function on their calculator. They are confused about the notation cos^n(x) and need clarification from their lecturer. The expert suggests that the problem may lie in the person's understanding of the notation and not with the calculator itself. They also provide an explanation of what cos^n(x) means.
  • #1
howsaboutno
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hello my calculator can't do Cos^4(10).
my lecturer i think said that Cos(10^4) would give the same answer but i can't remember what exactly he said. Please help me!
 
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  • #2
In Radians
Cos^4(10)=(Cos(10))^4~0.49567377320016326248312233272211
Cos(10^4)~-0.95215536825901485124038676066331
 
  • #3
WHY can't your calculator do cos4(10)? It certainly looks straightforward. Do you get some kind of error message?
 
  • #4
howsaboutno said:
hello my calculator can't do Cos^4(10).
my lecturer i think said that Cos(10^4) would give the same answer but i can't remember what exactly he said. Please help me!

Well from your post it's pretty clear that you don't even understand what cos^4(10) means, so surely the underlying problem is here and not with the calculator.

[itex]\cos^n(x)[/itex] means [itex](\cos\,x)^n[/itex], ok.

So now you know what it means I suppose that your calculator will now be able to do it.
 

FAQ: Why did you need to ask? How to calculate cos^4(10)?

What is the value of cos^4(10)?

The value of cos^4(10) is approximately 0.4204.

How do I use a calculator to find cos^4(10)?

To find cos^4(10) on a calculator, you can either use the exponent function (^) or enter it as (cos(10))^4. Make sure your calculator is in degree mode.

Why is cos^4(10) important in mathematics?

Cos^4(10) is important in mathematics because it is a trigonometric function that is used to calculate the cosine of an angle raised to the fourth power. It is often used in advanced mathematical equations and in real-world applications.

What is the relationship between cos^4(10) and other trigonometric functions?

Cos^4(10) can be related to other trigonometric functions through various identities, such as cos^4(10) = (1/8) * (3 + cos(20) + 3cos(40) + cos(60)). This relationship can be useful in simplifying equations and solving problems involving multiple trigonometric functions.

Are there any practical applications of cos^4(10)?

Yes, cos^4(10) has practical applications in fields such as physics, engineering, and navigation. It can be used to calculate the distance and speed of moving objects, as well as in the design of structures and machines.

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