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anonymous

  • one year ago

Can anyone explain how to prove(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x This proving trig functions has got me confused

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  1. Nnesha
    • one year ago
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    write tan in terms of sin over cos \[\huge\rm tan \theta = \frac{ \sin }{ \cos }\] change that and remember cot is reciprocal of tan

  2. Nnesha
    • one year ago
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    \[\large\rm sinx (\color{reD}{tanx} cosx - \color{red}{cotx} cosx)\]\[\large\rm sinx(\color{Red}{\frac{ \sin x}{ cosx }} cosx - \cot x cosx)\] cot x = what ?

  3. anonymous
    • one year ago
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    Give me a sec

  4. Pawanyadav
    • one year ago
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    Sinx(sinx/cosx×cos-cosx/sinx×cosx) =sin^2x-cos^2x. (Multiply sin inside the bracket) =-cos2x

  5. Pawanyadav
    • one year ago
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    The answer is incorrect

  6. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @lala102 Give me a sec \(\color{blue}{\text{End of Quote}}\) okay :-)

  7. anonymous
    • one year ago
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    Okay i am so confused gahhhh!!! I really hate trig. Do I distribute? I do not know what I am doing, but I'm trying. Math is just my enemy

  8. Nnesha
    • one year ago
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    where is your work ??

  9. Nnesha
    • one year ago
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    cot x = what ? if tan = sin/cos

  10. Pawanyadav
    • one year ago
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    Want to solve it then love it play with it . It's not your enemy.

  11. anonymous
    • one year ago
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    Oh okay I got you now cotx is 1/tanx right

  12. Nnesha
    • one year ago
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    nope tan and cot are reciprocal of each other so if tan = sin /cos then cot = cos /sin

  13. Nnesha
    • one year ago
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    \[\large\rm sinx(\color{Red}{\frac{ \sin x}{ cosx }} cosx - \frac{cosx}{sin} cosx)\] now solve the parentheses first

  14. anonymous
    • one year ago
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    Um okay.... Man I must be looking at the wrong set of notes. I'm sorry

  15. Nnesha
    • one year ago
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    what do yo mean ??

  16. Nnesha
    • one year ago
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    both sides are equal you can verify

  17. anonymous
    • one year ago
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    I'm sorry I'm going slow its somethinwrong with my phone

  18. Nnesha
    • one year ago
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    alright let sin x = a and cos x = b \[\large\rm a(\color{Red}{\frac{ a}{ b }}( b)- \frac{b}{a} (b))\] simple algebra can you solve it now

  19. anonymous
    • one year ago
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    Yes thank you!

  20. Nnesha
    • one year ago
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    got it ?

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