mawawakaiii mawawakaiii
  • 22-03-2019
  • Mathematics
contestada

An angle, θ, is in standard position. The terminal side of the angle passes through the point (6, -5).

Find sinθ.


Respuesta :

Daud2020 Daud2020
  • 22-03-2019

-5 square root of 51/51

Answer Link
Vespertilio Vespertilio
  • 23-10-2019

Answer:

[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]

Step-by-step explanation:

(6, -5)

According to the diagram

[tex]OA^{2}=OB^{2}+AB^{2}[/tex]

[tex]OA^{2}=6^{2}+5^{2}=36+25=61[/tex]

[tex]OA=\sqrt{61}[/tex]

[tex]Sin\theta =\frac{AB}{OA}[/tex]

[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]

Ver imagen Vespertilio
Answer Link

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