Mathematics?

Question

1- Explain the Sine and Cosine ratios with respect to hypotenues, opposite leg and adjacent leg in a triangle.

2- What is the difference between lateral area and surface area?

Answer 1

vertex angle A. opposite angle A is little " a " or the opposite side

vertex angle B, opposite angle B is little " b " or the adjacent side

oppposite the 90° angle is the hypotenuse

little " a " equals y on the y axis

Little " b " equals x on the x axis

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Ratios

sinθ = y / r or Opposite side / hypotenuse

cosθ = x / r or adjacent side / hypotenuse

tanθ = y / x or opposite side / adjacent side

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Ratios

let

y = 3

x = 4

hypotenuse = 5

sinθ = y / r or 3 / 5

cosθ = x / r or 4 / 5

tanθ = y / x or 3 / 4

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Answer 2

sin = opposite/hypotenuse
cos = adjacent/hypotenuse

lateral area is the area of just the sides of a figure
surface area is the area of all faces of the figure (including the bases)