Solve and Find T,
$\displaystyle \frac{Tcos40}{8+Tsin40}=\frac{2}{5}$
T=6.29(3sf)
Please show each step of working!
Million thanks!
Hello BabyMilo$\displaystyle \frac{T\cos40}{8+T\sin40}=\frac{2}{5}$
$\displaystyle \Rightarrow 5T\cos40=2(8+T\sin40)$
$\displaystyle =16+2T\sin40$
$\displaystyle \Rightarrow 5T\cos40-2T\sin40 =16$
$\displaystyle \Rightarrow T(5\cos40-2\sin40)=16$
$\displaystyle \Rightarrow T = \frac{16}{5\cos40-2\sin40}$
$\displaystyle =6.29$ (3 s.f.)
Grandad