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IloveCharlie

  • 3 years ago

One last problem! Please help! This one I was having trouble with as well. Click attached PLEASE

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  1. IloveCharlie
    • 3 years ago
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  2. Hero
    • 3 years ago
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    Hint: \(\tan x(\tan x - 1) = 0\)

  3. Hero
    • 3 years ago
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    2nd Hint: \(\tan x = 0\) \(\tan x - 1 = 0\)

  4. Australopithecus
    • 3 years ago
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    \[\frac{\sin^2(x)}{\cos^2(x)} - \frac{\sin(x)}{\cos(x)} = 0\] = what makes sin(x) = 0?

  5. Hero
    • 3 years ago
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    Third Hint: \( x = \tan^{-1}(0)\) \(x = \tan^{-1}(1)\)

  6. Australopithecus
    • 3 years ago
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    what ever makes sin(x) 0 makes tan(x) = 0

  7. Hero
    • 3 years ago
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    No giving of answers @muhammad9t5

  8. muhammad9t5
    • 3 years ago
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    hi let tanx=y then solve it by factorizing or quadratic equation.

  9. muhammad9t5
    • 3 years ago
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    @Hero yes sir now i do explanation.

  10. muhammad9t5
    • 3 years ago
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    @IloveCharlie did you get me?

  11. Australopithecus
    • 3 years ago
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    since there are no values in the answer that zero it out what value of x can make sin(x) = cos(x) because if sin(x) = cos(x) sin(x)/cos(x) = 1 and 1 - 1 = 0

  12. IloveCharlie
    • 3 years ago
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    Hmm, o.k. I understand the input you guys are giving me. Would anyone b willing to solve it step by step with me though? That way I fully understand step by step?

  13. muhammad9t5
    • 3 years ago
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    its better to solve it yourself...

  14. muhammad9t5
    • 3 years ago
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    ok i am getting tanx=y there fore y^2-y=0 y(y-1)=0 either or y=0 y+1=0 y=0 y=1 but y=tanx s put in above tanx=0 tanx=1 x=tan^-1(0) x=tan^-1(1) x=0degree x= 45 degree now convert degree into radians yourself hint::1degree=pi/180 rad

  15. muhammad9t5
    • 3 years ago
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    @IloveCharlie do you understand?

  16. IloveCharlie
    • 3 years ago
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    So 0 degree into radians= 0. 45 degree into radians= pi/4

  17. Australopithecus
    • 3 years ago
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    |dw:1343892306689:dw|

  18. rajeshkumar6447
    • 3 years ago
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    question plee

  19. muhammad9t5
    • 3 years ago
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    @IloveCharlie yes.

  20. Australopithecus
    • 3 years ago
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    this is the unit circle look at the coordinates for the radians

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  21. Australopithecus
    • 3 years ago
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    and then read what I said

  22. Australopithecus
    • 3 years ago
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    remember when sin(x) = 1 sin(x)^(2) = 1^(2) = 1

  23. muhammad9t5
    • 3 years ago
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    @IloveCharlie whats up?

  24. IloveCharlie
    • 3 years ago
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    pi/4?

  25. IloveCharlie
    • 3 years ago
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    That's what I got from reading the chart you provided

  26. IloveCharlie
    • 3 years ago
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    But pi/4 is in all options. How do I know which one it is

  27. muhammad9t5
    • 3 years ago
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    thre are two answer 0 and pi/4 for all solutions {0}U{pi/4} {pi/4} answer.

  28. IloveCharlie
    • 3 years ago
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    So c. Thank you so much! I appreciate everyones help

  29. muhammad9t5
    • 3 years ago
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    i was just waiting for it!!!!!!!!! hahahaha Thanks.

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