At the basic level, sin is short for the sine function and has the same meaning as in trigonometry. At a more advanced level, in real calculus, it may be defined as the infinite sum of the form
sin(x) = x - x3/3! + x5/5! - x7/7! + ... for angle x measured in radians (NOT degrees).
At an even more advanced level, in complex analysis, sin(x) is the imaginary part of exp(ix) where i is the imaginary square root of -1.
At the basic level, sin is short for the sine function and has the same meaning as in trigonometry. At a more advanced level, in real calculus, it may be defined as the infinite sum of the form
sin(x) = x - x3/3! + x5/5! - x7/7! + ... for angle x measured in radians (NOT degrees).
At an even more advanced level, in complex analysis, sin(x) is the imaginary part of exp(ix) where i is the imaginary square root of -1.
At the basic level, sin is short for the sine function and has the same meaning as in trigonometry. At a more advanced level, in real calculus, it may be defined as the infinite sum of the form
sin(x) = x - x3/3! + x5/5! - x7/7! + ... for angle x measured in radians (NOT degrees).
At an even more advanced level, in complex analysis, sin(x) is the imaginary part of exp(ix) where i is the imaginary square root of -1.
At the basic level, sin is short for the sine function and has the same meaning as in trigonometry. At a more advanced level, in real calculus, it may be defined as the infinite sum of the form
sin(x) = x - x3/3! + x5/5! - x7/7! + ... for angle x measured in radians (NOT degrees).
At an even more advanced level, in complex analysis, sin(x) is the imaginary part of exp(ix) where i is the imaginary square root of -1.
Chat with our AI personalities
At the basic level, sin is short for the sine function and has the same meaning as in trigonometry. At a more advanced level, in real calculus, it may be defined as the infinite sum of the form
sin(x) = x - x3/3! + x5/5! - x7/7! + ... for angle x measured in radians (NOT degrees).
At an even more advanced level, in complex analysis, sin(x) is the imaginary part of exp(ix) where i is the imaginary square root of -1.
The law of sines refers to a relationship between the sides and the angles of a triangle. Consequently, it is used in trigonometry and, to a lesser extent, in geometry. It is not really relevant in calculus or statistics.
This word does not have an opposite.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
In advanced mathematics, familiar trigonometric ratios such as sine, cosine or tan are defined as infinite series. For example, sin(x) = x - x3/3! + x5/5! - ... Such series are used to calculate trig ratios and the proof of their their convergence to a specific value depends on calculus.