contestada

Consider the right triangle shown below that has side lengths of x, y and r units.For each of the following questions, write an expression in terms of θ that answers the question. Enter "theta" for θ.y is how many times as large as r? ____times as large   x is how many times as large as r? _____times as large   y is how many times as large as x? ___times as large

Consider the right triangle shown below that has side lengths of x y and r unitsFor each of the following questions write an expression in terms of θ that answe class=

Respuesta :

Determine relation between side of triangle by using trigonometry.

[tex]\begin{gathered} \sin \theta=\frac{y}{r} \\ y=r\sin \theta \end{gathered}[/tex]

So y is sin theta times as large as r.

[tex]\begin{gathered} \cos \theta=\frac{x}{r} \\ x=r\cos \theta \end{gathered}[/tex]

So x is cos theta times as large as r.

[tex]\begin{gathered} \tan \theta=\frac{y}{x} \\ y=x\tan \theta \end{gathered}[/tex]

So y is tan theta times as lasrge as x.