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Svetllana [295]
2 years ago
10

Can someone help me with this question please !!

Mathematics
1 answer:
Mrrafil [7]2 years ago
6 0

9514 1404 393

Answer:

  • sin(θ) = -7/√65
  • csc(θ)=-√65/7
  • cot=-4/7

Step-by-step explanation:

For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.

  d = √(4² +(-7)²) = √(16 +49) = √65

The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.

  sin(θ) = y/d = -7/√65

  csc(θ) = 1/sin(θ) = -√65/7

  cot(θ) = x/y = -4/7

_____

If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.

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