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The reciprocal of sine is sin(-1).
-1 being above the sin in small text like a squared number.
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NO!
sin-1 is the inverse function of sin, and that is not the same as the reciprocal. The reciprocal of sin(x) is 1/(sin(x) which is cosec(x).
The following simple example will illustrate the difference between a reciprocal and inverse.
Consider the function which doubles the value of its argument.
That is f(x) = 2x
The inverse of f(x) is the function g which halves its argument ie g(x) = x/2.
The function g(x) reverses the action of f(x) and f(x) reverses g(x).
Thus f[g(x)] = x for all x.
The reciprocal of f(x) is 1/f(x) = 1/2x.
So that for any value x, f(x) multiplied by its reciprocal (if it exists) always equals 1.
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Cosecant on calculator?
Cosecant is the reciprocal of sine. To find the cosecant of an angle using a calculator, find the sine of that angle (using the Sin button) and then divide 1 by the result.
What is the frequency of a sine wave period of 0.1 seconds?
The frequency is the reciprocal of the period. In other words, divide 1 by the period. If the period is in seconds, the frequency is in hertz.
Why is the secant function is an even function and the tangent and cosecant are odd functions?
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
What is the reciprocal of 29?
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What is sine infinity?
Sine does not converge but oscillates. As a result sine does not tend to a limit as its argument tends to infinity. So sine(infinity) is not defined.
