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amhishaw

  • 3 years ago

2 cos theta = 1, find all solutions

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  1. Brittni0605
    • 3 years ago
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    Step by step help?

  2. amhishaw
    • 3 years ago
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    yes

  3. Brittni0605
    • 3 years ago
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    Ok, so think of theta as a variable

  4. Brittni0605
    • 3 years ago
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    if theta was an 'x' how would you solve?

  5. amhishaw
    • 3 years ago
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    to be honest I have no clue.

  6. shaik0124
    • 3 years ago
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    2 cos theta=1 cos theta=1/2 theta=cos inverse(1/2) theta=60degrees

  7. amhishaw
    • 3 years ago
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    ok, so i would divide 2 from both sides?

  8. Brittni0605
    • 3 years ago
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    Yes.

  9. Brittni0605
    • 3 years ago
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    |dw:1357848817327:dw|

  10. Brittni0605
    • 3 years ago
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    Now, you know cos theta equals 1/2..now you want to find theta, do you know how?

  11. amhishaw
    • 3 years ago
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    oh! okay and would I just look for cos (x) value on the unit circle right?

  12. Brittni0605
    • 3 years ago
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    Umm, you could do that. But im not sure if you would have the unit circle with you on your tests.

  13. Brittni0605
    • 3 years ago
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    There is another way to do it, if you have a graphing calc or if you memorized the cos and sin values of the major degrees on the circle.

  14. amhishaw
    • 3 years ago
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    well no lol my precal teacher was trying to explain how to but I couldn't understand

  15. amhishaw
    • 3 years ago
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    without it*

  16. Brittni0605
    • 3 years ago
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    Ohh, ok. Well try to memorize the major degrees..like 30, 60, 45, 90, 180, 270, 360.

  17. Brittni0605
    • 3 years ago
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    But if you were to use your unit circle, you would look for the degrees with a cos (x value) of 1/2

  18. Brittni0605
    • 3 years ago
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    |dw:1357849233772:dw|

  19. amhishaw
    • 3 years ago
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    ok, so would i use ALL of the radian values of cos 1/2?

  20. Brittni0605
    • 3 years ago
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    do you know the cos and sin values of the angles I drew?

  21. Brittni0605
    • 3 years ago
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    Yes, all of the values, bc the problem says find ALL

  22. amhishaw
    • 3 years ago
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    I know most of them

  23. amhishaw
    • 3 years ago
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    thank you so much, you've been a lot of help

  24. amhishaw
    • 3 years ago
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    so the solutions would be pi/3 and 5pi/3?

  25. Brittni0605
    • 3 years ago
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    Yes.

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