Question

Can someone help me with this question please !!

Answer 1

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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

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