summsumm02 summsumm02
  • 24-06-2018
  • Mathematics
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The terminal side of an angle in standard position passes through P(15, –8). What is the value of sin 0

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mkryukova19 mkryukova19
  • 24-06-2018
sin α = opposite leg/ hypotenuse

Terminal side forms a hypotenuse of a triangle.
x- coordinate gives adjacent leg,
y-coordinate gives opposite leg. (-8)

Hypotenuse ² = (leg1)² +(leg2)²
Hypotenuse ² = 15² +(-8)² = 289
Hypotenuse =√289 = 17

sin α = - 8/17


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