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There is not a "correct" trigonometric ratio. The one based on right angled triangles are limited to right angled triangles and so cannot be used for angles greater than pi radians (180 degrees). This is despite the fact that the sine ratio is defined for any angle, including reflex angles or angles of negative measure.
To find the sine of an angle of measure q, draw a line that makes that angle with the positive direction of the x-axis, the angle being measured in the anti-clockwise direction. If (x, y) are the coordinates of any point on that line, then
sin(q) = x/sqrt(x2 + y2)
There is not a "correct" trigonometric ratio. The one based on right angled triangles are limited to right angled triangles and so cannot be used for angles greater than pi radians (180 degrees). This is despite the fact that the sine ratio is defined for any angle, including reflex angles or angles of negative measure.
To find the sine of an angle of measure q, draw a line that makes that angle with the positive direction of the x-axis, the angle being measured in the anti-clockwise direction. If (x, y) are the coordinates of any point on that line, then
sin(q) = x/sqrt(x2 + y2)
There is not a "correct" trigonometric ratio. The one based on right angled triangles are limited to right angled triangles and so cannot be used for angles greater than pi radians (180 degrees). This is despite the fact that the sine ratio is defined for any angle, including reflex angles or angles of negative measure.
To find the sine of an angle of measure q, draw a line that makes that angle with the positive direction of the x-axis, the angle being measured in the anti-clockwise direction. If (x, y) are the coordinates of any point on that line, then
sin(q) = x/sqrt(x2 + y2)
There is not a "correct" trigonometric ratio. The one based on right angled triangles are limited to right angled triangles and so cannot be used for angles greater than pi radians (180 degrees). This is despite the fact that the sine ratio is defined for any angle, including reflex angles or angles of negative measure.
To find the sine of an angle of measure q, draw a line that makes that angle with the positive direction of the x-axis, the angle being measured in the anti-clockwise direction. If (x, y) are the coordinates of any point on that line, then
sin(q) = x/sqrt(x2 + y2)
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ProfessorThere is not a "correct" trigonometric ratio. The one based on right angled triangles are limited to right angled triangles and so cannot be used for angles greater than pi radians (180 degrees). This is despite the fact that the sine ratio is defined for any angle, including reflex angles or angles of negative measure.
To find the sine of an angle of measure q, draw a line that makes that angle with the positive direction of the x-axis, the angle being measured in the anti-clockwise direction. If (x, y) are the coordinates of any point on that line, then
sin(q) = x/sqrt(x2 + y2)
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What is the ratio to a percent 79 to 100?
79/100*100=79% 79:100 will be the correct ratio.
All rational numbers are a ratio of two integers?
All rational numbers CAN be expressed as a ratio of two integers. They may appear, before simplification, to be expressed in other forms. For example, the rational number 1 can be written as the ratio sin(45)/cos(45) even though neither numerator nor denominator is an integer.
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In a right triangle, the sine of an angle (abbreviated SIN) represents a ratio between the lengths of the side opposite of the angle and the hypotenuse of the triangle. For example, in a standard 3, 4, 5 right triangle, the 2 legs are length 3 and 4, while the hypotenuse (always the longest side) is 5.
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