tan(x) + cot(x) = 2
(sin(x))/(cos(x)) + (cos(x))/(sin(x)) = 2
sin²(x) + cos²(x) = 2.sin(x).cos(x)
1 = 2.sin(x).cos(x)
sin(2x) = 1
sin(2x) = sin(90°)
2x = 90°
x = 45°
sin(x) = sin(45°) = 1/2 . √2
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tan(x) + cot(x) = 2
(sin(x))/(cos(x)) + (cos(x))/(sin(x)) = 2
sin²(x) + cos²(x) = 2.sin(x).cos(x)
1 = 2.sin(x).cos(x)
sin(2x) = 1
sin(2x) = sin(90°)
2x = 90°
x = 45°
sin(x) = sin(45°) = 1/2 . √2