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anonymous

  • 5 years ago

Please help with Trig Identities... tried it, but continued to get stuck at the end... Prove by working one side: (cos x/ 1+ sin x) - ( 1-sin x/ cos x)= 0

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  1. amistre64
    • 5 years ago
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    cos(x)/(1+sin(x)) ?? is that corrrect?

  2. anonymous
    • 5 years ago
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    yes

  3. amistre64
    • 5 years ago
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    id assume yes, since cos(x)/1 would be futile :)

  4. amistre64
    • 5 years ago
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    add the right "term" to the right side of the (=) for starters

  5. amistre64
    • 5 years ago
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    cos x 1-sin x -------- = ------- 1+sin cos

  6. amistre64
    • 5 years ago
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    the RHS = sec - tan

  7. anonymous
    • 5 years ago
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    not = it is -...... it equals 0

  8. amistre64
    • 5 years ago
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    you should use algebraic techniques to "prove" the statement. All I did was move -((1-sin)/cos) to the other side for the moments :)

  9. amistre64
    • 5 years ago
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    if we cross multiply we get: cos^2 = (1-sin)(1+sin)

  10. anonymous
    • 5 years ago
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    i dont understand... im so confused

  11. amistre64
    • 5 years ago
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    cos^2 = 1 - sin^2 which is true

  12. anonymous
    • 5 years ago
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    yes

  13. amistre64
    • 5 years ago
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    are you trying to just work one side and not manipulate it to your whim?

  14. anonymous
    • 5 years ago
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    yes only working one side to prove the other

  15. amistre64
    • 5 years ago
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    you could try decomposing fractions..... maybe if you want to try that way

  16. anonymous
    • 5 years ago
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    i ended up at: (1- sin ^2 x - 1- sin x)/ cos x

  17. amistre64
    • 5 years ago
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    cos 1-sin -------- - ------- = 0 1+sin cos ok....yeah, get like denominators and such...same thing I did pretty much: cos^2 - (1-sin^2) --------------- = 0 cos(1+sin)

  18. amistre64
    • 5 years ago
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    now we see that cos^2 - (cos^2) = 0 so that whole thing is 0

  19. amistre64
    • 5 years ago
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    do you see it?

  20. anonymous
    • 5 years ago
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    yes, thank you

  21. amistre64
    • 5 years ago
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    how did you get to this? (1- sin ^2 x - 1- sin x)/ cos x

  22. anonymous
    • 5 years ago
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    because cos ^2 = 1 - sin ^2

  23. anonymous
    • 5 years ago
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    thank you for helping me

  24. amistre64
    • 5 years ago
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    youre welcome :)

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