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Thread: Rearranging Equation

  1. #1
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    Rearranging Equation

    Solve and Find T,

    $\displaystyle \frac{Tcos40}{8+Tsin40}=\frac{2}{5}$

    T=6.29(3sf)

    Please show each step of working!

    Million thanks!
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  2. #2
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    Hello BabyMilo
    Quote Originally Posted by BabyMilo View Post
    Solve and Find T,

    $\displaystyle \frac{Tcos40}{8+Tsin40}=\frac{2}{5}$

    T=6.29(3sf)

    Please show each step of working!

    Million thanks!
    $\displaystyle \frac{T\cos40}{8+T\sin40}=\frac{2}{5}$

    $\displaystyle \Rightarrow 5T\cos40=2(8+T\sin40)$

    $\displaystyle =16+2T\sin40$

    $\displaystyle \Rightarrow 5T\cos40-2T\sin40 =16$

    $\displaystyle \Rightarrow T(5\cos40-2\sin40)=16$

    $\displaystyle \Rightarrow T = \frac{16}{5\cos40-2\sin40}$

    $\displaystyle =6.29$ (3 s.f.)

    Grandad
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  3. #3
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    you are a genius or is it im just stupid.
    thanks!
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  4. #4
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    Probably neither!

    Grandad
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