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lilsis76

  • 2 years ago

how can i determine which of the two trigonometric values is larger in a, b, and c ? a) cos pi/12 or sin pi/12 b) cos 18 degrees or cos 54 degrees c) cos 320 degrees or sin 290 degrees

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  1. ChmE
    • 2 years ago
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    look up the unit circle

  2. ChmE
    • 2 years ago
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    for cos. The higher the degree up to 90 the lower the value. from 90 to 180 the value increases. for sin it is the opposite. **UNIT CIRCLE**

  3. lilsis76
    • 2 years ago
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    okay. im checking it out

  4. lilsis76
    • 2 years ago
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    |dw:1355083613247:dw|

  5. lilsis76
    • 2 years ago
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    okay, well for a) it says cos pi/12 and sin pi/12, how will i know where the pi/12 is??

  6. lilsis76
    • 2 years ago
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    |dw:1355083788207:dw| @ChmE

  7. ChmE
    • 2 years ago
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    its half of pi/6

  8. ChmE
    • 2 years ago
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    cos is the x value and sin in the y value

  9. ChmE
    • 2 years ago
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    you can see the the y value increases to 90 then goes back down. x value it opposite

  10. lilsis76
    • 2 years ago
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    oh...okay i didnt see that. so then the cos would be larger because its sqrt3/2 ?

  11. ChmE
    • 2 years ago
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    |dw:1355084128293:dw|x value is greater than the y value right. more right than up. so cos pi/12 is bigger

  12. ChmE
    • 2 years ago
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    correct

  13. ChmE
    • 2 years ago
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    so what is b)

  14. lilsis76
    • 2 years ago
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    cool, i didnt understand this what so ever last time. let me try the next one okay. and ill give u my answer. could u tell me if its right? so cos 18, would be larger than cos 54 right?

  15. ChmE
    • 2 years ago
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    right

  16. ChmE
    • 2 years ago
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    try C :D

  17. lilsis76
    • 2 years ago
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    okay let me see

  18. ChmE
    • 2 years ago
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    Careful because it is kind of a trick question

  19. lilsis76
    • 2 years ago
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    it be 320?

  20. lilsis76
    • 2 years ago
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    WAIT!, wait y

  21. lilsis76
    • 2 years ago
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    haha y

  22. ChmE
    • 2 years ago
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    yes. because sin is negative in this quadrant. It is a big red flag

  23. ChmE
    • 2 years ago
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    sin will always be less in quadrant 4

  24. lilsis76
    • 2 years ago
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    okay, so the sin would mean its smaller so that means the cos will be smaller too

  25. ChmE
    • 2 years ago
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    I wouldn't say that

  26. lilsis76
    • 2 years ago
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    okay thank you so much haha. im trying to correct my last test givin back to me and i got alot wrong cuz i didnt understand lots of things

  27. ChmE
    • 2 years ago
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    I hope this helped. Just think of cos as the x value on the circle and sin as the y value on the circle. Always helped me

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