Question

Look at the figure:

Answer 1

Answer:

sin x° = 11 divided by s

Step-by-step explanation:

Given,

tan x° = 11 divided by r

$\implies tan x^{\circ}=\frac{11}{r}$

Also, cos x° = r divided by s

$\implies cos x^{\circ}=\frac{r}{s}$

We know that,

$\frac{sinx^{\circ}}{cos x^{\circ}}=tan x^{\circ}$

$\implies sinx^{\circ}= tan x^{\circ}\times cos x^{\circ}$  ( by cross multiplication )

By substituting the values,

$sin x^{\circ}=\frac{11}{r}\times \frac{r}{s}=\frac{11r}{rs}=\frac{11}{s}$

⇒ sin x° = 11 divided by s

Answer 2

Answer:

sin(x°) = 11/s

Step-by-step explanation:

The tangent is the ratio of sine to cosine, so ...

tan(x°) = sin(x°)/cos(x°)

Multiplying by cos(x°) gives ...

sin(x°) = cos(x°)·tan(x°) = (r/s)·(11/r)

sin(x°) = 11/s