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zaddyzad
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Homework Statement
How would I find the exact value of sin^-1 (-9) in degrees. I have no idea how to do this.
zaddyzad said:Homework Statement
How would I find the exact value of sin^-1 (-9) in degrees. I have no idea how to do this.
zaddyzad said:This is a question in my university webwork, so I don't know if they'd give a question that wouldn't have an answer.
The inverse sine function, denoted as sin^-1, also known as arcsine, is the inverse of the sine function. This means that given a value of y, sin^-1(y) will return the angle whose sine is y.
Finding the exact value of sin^-1(-9) is important in solving mathematical problems and equations involving trigonometric functions. It also helps in understanding the behavior of the sine function and its inverse.
To find the exact value of sin^-1(-9), we can use a scientific calculator or reference tables. We can also use the inverse sine formula, where sin^-1(x) = arcsin(x) = tan^-1(x/√(1-x^2)). In this case, we plug in -9 for x, and simplify the equation to get the exact value.
Yes, the exact value of sin^-1(-9) can be expressed as a fraction or decimal. In this case, it would be expressed as -π/2 or -90 degrees, as the inverse sine of -9 is undefined in radians and degrees.
The exact value of sin^-1(-9) has practical applications in various fields such as engineering, physics, and navigation. It can be used to calculate angles in right triangles, determine the position of objects based on their angles and distances, and analyze wave patterns and oscillations.