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Math Help - Two short Questions

  1. #1
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    Two short Questions

    -Question 1
    State the number of cycles in every 360 degrees for the function y=sin3x

    -Question 2
    Write out explicitly what is meant by \sum, above the sum is x=5, to the right of sum is x^5 and below is x=1. I had no clue how to do this on LaTex.

    I have similar questions to these for an assignment so if you could post the answers so I could do the others, that would be great.
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello derek445

    Welcome to Math Help Forum!
    Quote Originally Posted by derek445 View Post
    -Question 1
    State the number of cycles in every 360 degrees for the function y=sin3x

    -Question 2
    Write out explicitly what is meant by \sum, above the sum is x=5, to the right of sum is x^5 and below is x=1. I had no clue how to do this on LaTex.

    I have similar questions to these for an assignment so if you could post the answers so I could do the others, that would be great.
    Question 1:

    \sin x has one complete cycle every 360^o. As x goes from 0^o to 360^o, \;3x goes from 0^o to 3\times360^o, and so \sin 3x will have 3 complete cycles.

    *******************

    Question 2:

    To find the meaning of \sum_{x=1}^{x=5}x^5, you give x the values (one at a time) 1, 2, 3, 4, 5 in the expression after the \sum sign, and add the results together. ( \sum is the Greek letter corresponding to 'S', standing for the word 'sum'.)

    So:
    \sum_{x=1}^{x=5}x^5=1^5+2^5+3^5+4^5+5^5
    Grandad

    PS In future, please post your questions one at a time - then it's easier to get them in the appropriate forum.
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  3. #3
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    Thank you.
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