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umka2103 [35]
2 years ago
15

Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated tri

g function for 0. 15) (-5, 12); Find sin
Mathematics
1 answer:
Lilit [14]2 years ago
6 0

Answer:

  12/13

Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

  r = √((-5)² +12²) = √169 = 13

The sine of the angle is the ratio of the y-coordinate to this distance

  sin(θ) = y/r = 12/13

_____

Additional comment

The other trig functions are ...

  cos(θ) = x/r = -5/13

  tan(θ) = y/x = -12/5

This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.

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