0
How do you know which trigonometric ratio to use when finding the measure of an angle?
Wiki User
∙ 13y ago
Sin= Opposite leg/Hypotenuse
Cos= Adjacent leg/ Hypotenuse
Tan=Adjacent leg/ Opposite leg
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What name is given to the ratio of the length of the side opposite 30 degree to the length of hypotenuse?
There is no particular name for the trigonometric ratio which depends on the measure of a specific angle.
What does sin stand for on a calulator?
The "sin" button on a calculator gives the sine trigonometric ratio of the given angle.
Why do sin and cos differ by one half pie?
In math, the sine and cosine functions are one of the main trigonometric functions. All other trigonometric function can be specified within the expressions of them. The sine and cosine functions are exactly related and can be articulated within conditions of every other. Let us consider A be the angle sine can be identified as the ratio of the side opposite near to the angle toward the hypotenuse. Cosine of an angle is the ratio of the side adjacent to the angle A to the hypotenuse.
How can an angle be measured without a protractor?
Raise a perpendicular from one arm to the other. This creates a right angled triangle. Measure two of the sides of the triangle and use the appropriate trigonometric ratio and a computer/calculator/slide rule/tables to convert the ratio to an angle. eg measuring the side adjacent to the angle and the length of the side opposite the angle, which is the perpendicular raised, dividing the length of the opposite side by the adjacent side gives a value which can be looked up in arc tan tables (etc) to get the angle.
What is trigonometric ratio?
A TRIGONOMIC ratio is a ratio between either the opposite side of an angle and the hypotenuse of a triangle (sine), the adjacent side of an angle and the hypotenuse of a triangle (cosine), or the opposite side of an angle and the adjacent side (tangent). Mnemonic: SOH CAH TOA S= sine C= cosine T= tangent O= opposite A= adjacent H= hypotenuse
What name is given to the ratio of the length of the side opposite 30 degree to the length of hypotenuse?
There is no particular name for the trigonometric ratio which depends on the measure of a specific angle.
What is cos 22?
cos(22) is a trigonometric ratio and, if the angle is measured in degrees, its value is 0.9272
What is cos(22 degrees)?
cos(22) is a trigonometric ratio and, if the angle is measured in degrees, its value is 0.9272
What does sin stand for on a calulator?
The "sin" button on a calculator gives the sine trigonometric ratio of the given angle.
What is cos(22) in physics?
cos(22) is a trigonometric ratio and, if the angle is measured in degrees, its value is 0.9272
How do you plot a trigonometry graph?
You plot the magnitude of the angle along the horizontal axis and the value of the trigonometric ratio on the vertical axis.
A sentence using the word sine die?
First of all, a sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.The teacher told us to use the word sine in a sentence.He told us what a sine is and how you use it.A sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.
What is the relationship between trigonometric functions and its inverse?
The trigonometric functions and their inverses are closely related and provide a way to convert between angles and ratios of sides in a right triangle. The inverse trigonometric functions are also known as arc functions or anti-trigonometric functions. The primary trigonometric functions (sine, cosine, and tangent) represent the ratios of specific sides of a right triangle with respect to one of its acute angles. For example: The sine (sin) of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent (tan) of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side. On the other hand, the inverse trigonometric functions allow us to find the angle given the ratio of sides. They help us determine the angle measure when we know the ratios of the sides of a right triangle. The inverse trigonometric functions are typically denoted with a prefix "arc" or by using the abbreviations "arcsin" (or "asin"), "arccos" (or "acos"), and "arctan" (or "atan"). For example: The arcsine (arcsin or asin) function gives us the angle whose sine is a given ratio. The arccosine (arccos or acos) function gives us the angle whose cosine is a given ratio. The arctangent (arctan or atan) function gives us the angle whose tangent is a given ratio. The relationship between the trigonometric functions and their inverses can be expressed as follows: sin(arcsin(x)) = x, for -1 ≤ x ≤ 1 cos(arccos(x)) = x, for -1 ≤ x ≤ 1 tan(arctan(x)) = x, for all real numbers x In essence, applying the inverse trigonometric function to a ratio yields the angle that corresponds to that ratio, and applying the trigonometric function to the resulting angle gives back the original ratio. The inverse trigonometric functions are useful in a variety of fields, including geometry, physics, engineering, and calculus, where they allow for the determination of angles based on known ratios or the solution of equations involving trigonometric functions. My recommendation : 卄ㄒㄒ卩丂://山山山.ᗪ丨Ꮆ丨丂ㄒㄖ尺乇24.匚ㄖ爪/尺乇ᗪ丨尺/372576/ᗪㄖ几Ꮆ丂Ҝㄚ07/
Why do sin and cos differ by one half pie?
In math, the sine and cosine functions are one of the main trigonometric functions. All other trigonometric function can be specified within the expressions of them. The sine and cosine functions are exactly related and can be articulated within conditions of every other. Let us consider A be the angle sine can be identified as the ratio of the side opposite near to the angle toward the hypotenuse. Cosine of an angle is the ratio of the side adjacent to the angle A to the hypotenuse.
What is the correct trigonometric ratio is for tan?
For a right angle triangle the trigonometrical ration is: tangent = opposite/adjacent
How can an angle be measured without a protractor?
Raise a perpendicular from one arm to the other. This creates a right angled triangle. Measure two of the sides of the triangle and use the appropriate trigonometric ratio and a computer/calculator/slide rule/tables to convert the ratio to an angle. eg measuring the side adjacent to the angle and the length of the side opposite the angle, which is the perpendicular raised, dividing the length of the opposite side by the adjacent side gives a value which can be looked up in arc tan tables (etc) to get the angle.
What is the the correct trigonometric ratio of sin?
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, thensin(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, thensin(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, thensin(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, thensin(q) = x/sqrt(x2 + y2)
