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If tan x=11/r and cos x=r/s what is the value of sin x?

1 Answer

Jan 20, 2017

$sin x = \frac{11}{s}$ $sinx = 11/s$

Explanation:

$tan x = \frac{sin x}{cos x}$ $tanx = sinx/cosx$ , so:

$\frac{sin x}{cos x} = \frac{11}{r}$ $sinx/cosx = 11/r$

$\frac{sin x}{\frac{r}{s}} = \frac{11}{r}$ $sinx/(r/s) = 11/r$

$\frac{s}{r} sin x = \frac{11}{r}$ $s/rsinx = 11/r$

$sin x = \frac{\frac{11}{r}}{\frac{s}{r}}$ $sinx = (11/r)/(s/r)$

$sin x = \frac{11}{s}$ $sinx = 11/s$

Hopefully this helps!

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