If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?

tan(x) = 11/r

cos(x) = r/s

sin(x) = ?

 

Using the equation:

$$Tan(x) = Sin(x) / Cos(x)$$

Therefore:

11/r = Sin(x) / (r/s)

11/r = (s * Sin(x)) / r

Since both sides are divided by "r", let's multiply it out.

11 = s * Sin(x)

We want Sin(x) on it's own, so divide both sides by "s".

11 / s = Sin(x)

Sin(x) = 11 / s