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For angles between 90 and 180 use the angle (180 - X)

For angles between 180 and 270 use (X - 180)

For angles between 270 and 360 use (360 - X)

For angles greater than 360 subtract 360 until the angle is between 0 and 360 degrees and one of the above rules can be applied.

You need to be careful with the signs of the ratios.

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Q: What angles are used to relate the values returned by inverse trigonometric functions to angles larger than 90 degrees?
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Related questions

What are the types of trigonometric functions?

There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions


How can you use inverse trigonometric functions?

You can use them to find the sides and angles of a right triangle... just like regular trigonometric functions


How are inverse trigonometric functions applied in real life?

They aren't. They aren't.


How do you understand inverse trigonometric formulae?

use the graph of inverse functions,whcih checks the vallues of x and y


What are the graphs of the inverse trigonometry functions?

If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)


What kind of calculator do I need for my Trigonometry class?

You should get the HP 33S Scientific Calculator because it has 32KB of memory, keystroke programming, linear regression, binary calculation and conversion, trigonometric, inverse-trigonometric and hyperbolic functions


Inverse trigonometric value of sin inverse 4 11?

The inverse of sin inverse (4/11) is simply 4/11.


What are the seven types of function?

There are infinitely many types of functions. For example: Discrete function, Continuous functions, Differentiable functions, Monotonic functions, Odd functions, Even functions, Invertible functions. Another way of classifying them gives: Logarithmic functions, Inverse functions, Algebraic functions, Trigonometric functions, Exponential functions, Hyperbolic functions.


Is inverse operations a multiplication or division word?

Not necessarily. The inverse operation of finding a reciprocal is doing the same thing again. The inverse operation of raising a number to a power is taking the appropriate root, the inverse operation of exponentiation is taking logarithms; the inverse operation of taking the sine of an angle is finding the arcsine of the value (and similarly with other trigonometric functions);


Math question what is inverse operation?

Mathematical function that undoes the effect of another function. For example, the inverse function of the formula that converts Celsius temperature to Fahrenheit temperature is the formula that converts Fahrenheit to Celsius. Applying one formula and then the other yields the original temperature. Inverse procedures are essential to solving equations because they allow mathematical operations to be reversed (e.g. logarithms, the inverses of exponential functions, are used to solve exponential equations). Whenever a mathematical procedure is introduced, one of the most important questions is how to invert it. Thus, for example, the trigonometric functions gave rise to the inverse trigonometric functions.


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 you solve trigonometric equations?

Use trigonometric identities to simplify the equation so that you have a simple trigonometric term on one side of the equation and a simple value of the other. Then use the appropriate inverse trigonometric or arc function.