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

Question

2 years ago

15

g function for 0. 15) (-5, 12); Find sin

1 answer:

Lilit [14] · Answer 1 · 2023-03-18T20:45:04+03:00

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

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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.