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
Answer:
sin x° = 11 divided by s
Step-by-step explanation:
Given,
tan x° = 11 divided by r
[tex]\implies tan x^{\circ}=\frac{11}{r}[/tex]
Also, cos x° = r divided by s
[tex]\implies cos x^{\circ}=\frac{r}{s}[/tex]
We know that,
[tex]\frac{sinx^{\circ}}{cos x^{\circ}}=tan x^{\circ}[/tex]
[tex]\implies sinx^{\circ}= tan x^{\circ}\times cos x^{\circ}[/tex] ( by cross multiplication )
By substituting the values,
[tex]sin x^{\circ}=\frac{11}{r}\times \frac{r}{s}=\frac{11r}{rs}=\frac{11}{s}[/tex]
⇒ sin x° = 11 divided by s
