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anonymous

  • 5 years ago

factor and simplify the expression: cos^2x+cos^2xcot^2x

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  1. anonymous
    • 5 years ago
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    hey, that's just cot^2(x)!

  2. amistre64
    • 5 years ago
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    cos^2 + cos^2 cos^2 ----------- is what I see so far sin^2

  3. anonymous
    • 5 years ago
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    =cos^2(x)(1+cos^2(x)/sin^2(x)) =cos^2(x)((sin^2(x)+cos^2(x))/sin^2(x)) =cos^2(x)/sin^2(x) =cot^2(x)

  4. anonymous
    • 5 years ago
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    work of art i say

  5. amistre64
    • 5 years ago
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    or factor out a cos^2 lol

  6. amistre64
    • 5 years ago
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    cos^2(1+cot^2) cos^2(csc^2) cos^2 ----- = 1 ...... cos^2

  7. amistre64
    • 5 years ago
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    let me check my 1+cot^2

  8. amistre64
    • 5 years ago
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    sin^2 + cos^2 = 1 ------------ ---- sin^2 sin^2 sin^2 1 + cot^2 = csc^2.... my bad lol

  9. amistre64
    • 5 years ago
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    cos^2 ----- = cot^2 smarty was right :) sin^2

  10. anonymous
    • 5 years ago
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    yours more elegant tho

  11. anonymous
    • 5 years ago
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    csc=1/sin^2

  12. anonymous
    • 5 years ago
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    i did it on the fly

  13. amistre64
    • 5 years ago
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    i did it with one synapse tied behind my right prefrontal lobe ;)

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