1) tgx=1/√3 2) tgx=-√3 3)tgx=-1 4) tgx=4 5) tgx=-5
1) tgx=1/√3 2) tgx=-√3 3)tgx=-1 4) tgx=4 5) tgx=-5
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For trigonometric functions, the tangent function is defined as the ratio of the opposite side to the adjacent side of a right triangle.
1) tg(x) = 1/√3 --> This means that in a right triangle, the opposite side is 1 and the adjacent side is √3. Since 1^2 + (√3)^2 = 1 + 3 = 4 which is not equal to 1, this is not a valid equation.
2) tg(x) = -√3 --> This would imply that the opposite side is -√3 and the adjacent side is 1. However, the length of a side of a triangle cannot be negative, so this is not a valid equation.
3) tg(x) = -1 --> This means that in a right triangle, the opposite side is -1 and the adjacent side is 1. Since -1 is not a side length of a triangle, this is not a valid equation.
4) tg(x) = 4 --> This means that in a right triangle, the opposite side is 4 and the adjacent side is 1. Since 4^2 + 1^2 = 16 + 1 = 17 which is not equal to 16, this is not a valid equation.
5) tg(x) = -5 --> This means that in a right triangle, the opposite side is -5 and the adjacent side is 1. Since -5 is not a side length of a triangle, this is not a valid equation.