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anonymous

  • one year ago

solve tan x sec x - 2 tan x = 0 for all real values of x..

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. anonymous
    • one year ago
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    @dan815

  3. rajat97
    • one year ago
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    sec x=2 is it the solution?

  4. anonymous
    • one year ago
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    i wish it was that easy but its not :'( the answer has multiple solutions

  5. jim_thompson5910
    • one year ago
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    tan(x)*sec(x) - 2*tan(x) = 0 tan(x)*[ sec(x) - 2 ] = 0 tan(x) = 0 or sec(x) - 2 = 0 tan(x) = 0 or sec(x) = 2 tan(x) = 0 or 1/cos(x) = 2 tan(x) = 0 or cos(x) = 1/2 I'll let you finish up

  6. anonymous
    • one year ago
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    @jim_thompson5910 okay i understand.. so with that being said.. they're will be 3 different solutions, and they would be 0+kpi 2kpi + pi/3 2kpi + 5pi/3 ?

  7. rajat97
    • one year ago
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    got it

  8. rajat97
    • one year ago
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    the kpi solution is for sin x=0 and the other two ae for sec x=2

  9. UsukiDoll
    • one year ago
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    it's been a while since I've done this but you have to be in radian mode and add or subtract 2pi or something

  10. UsukiDoll
    • one year ago
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    depends on the quadrant you're in as well .

  11. anonymous
    • one year ago
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    okay so the answers i have to select from are sketchy so i think i picked the right one? ..

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  12. jim_thompson5910
    • one year ago
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    they made a typo they should have 2k*pi and not just 2k

  13. jim_thompson5910
    • one year ago
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    when you wrote `0+kpi ` `2kpi + pi/3` `2kpi + 5pi/3` you have all 3 correct

  14. jim_thompson5910
    • one year ago
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    5pi/3 is coterminal to -pi/3, so either works

  15. anonymous
    • one year ago
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    so judging on which one is the closest... it'd be A?

  16. jim_thompson5910
    • one year ago
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    you'll have to bring it up with your teacher so they can fix it

  17. jim_thompson5910
    • one year ago
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    but yeah A looks closest

  18. anonymous
    • one year ago
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    i will thanks jim you da bestttttttttttttttt

  19. jim_thompson5910
    • one year ago
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    yw

  20. rajat97
    • one year ago
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    when you solve it, you get sin x=0 and sec x=2 so you get the answer as given

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