Can someone help me with this question please !!

9514 1404 393

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.