offixialfide97 offixialfide97
  • 17-04-2019
  • Mathematics
contestada

The point P(21, 28) is on the terminal side of θ. Evaluate sin θ.



A. 3/4



2. 4/5



3. 3/5



4. 4/3

Respuesta :

gmany
gmany gmany
  • 17-04-2019

Answer:

[tex]\large\boxed{2.\ \dfrac{4}{5}}[/tex]

Step-by-step explanation:

Look at th picture.

[tex]\sin\theta=\dfrac{y}{r}[/tex]

We have the point P(21, 28).

Calculate the value of r:

[tex]r=\sqrt{21^2+28^2}=\sqrt{441+784}=\sqrt{1225}=35[/tex]

Calculate sine:

[tex]\sin\theta=\dfrac{28}{35}=\dfrac{28:7}{35:7}=\dfrac{4}{5}[/tex]

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