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schepotkina [342]
3 years ago
6

Pls help, don’t quite understand these at all and need the correct answers:)

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

9514 1404 393

Answer:

  cos(A) ≈ 0.9165

Step-by-step explanation:

Put the given value into the given relation and solve for the unknown.

  sin²(A) +cos²(A) = 1

  (2/5)² + cos²(A) = 1

  cos²(A) = 1 -4/25 = 21/25 . . . . . subtract (2/5)²

  cos(A) = √(21/25) ≈ 0.9165 . . . . . take the square root

_____

Both sine and cosine are positive in Quadrant I, so we're only interested in the positive square root.

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