Respuesta :

Answer: Choice A) 4/5

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Work Shown:

cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5

The fact that sine is positive in quadrant 2 means that the result is positive.

In quadrant 2 sin theta A:4/5.

What are trigonometry ratios?

Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

various ratios are:-

  • sin=perpendicular/hypoteneuse
  • cos=base/hypotenuse
  • tan=perpendicular/base   (tan30°)=5/b
  • cot=base/perpendicular
  • sec=hypotenuse/base
  • cosec= hypotenuse/perpendicular

cos²(∅) + sin²(∅) = 1

⇒(-3/5)² + sin²∅) = 1

⇒9/25 + sin²(∅) = 1

⇒9/25 + sin²(∅) - 9/25 = 1 - 9/25

⇒sin²(∅) = 1 - 9/25

⇒sin²(∅) = 16/25

⇒sin(∅) = 4/5

Learn more about trigonometry here:-https://brainly.com/question/24349828

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