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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.
What is the Sine reciprocal?
Cosecant
What is the cosecant reciprocal?
It is sine.
What is co-secant in Trigonometry?
It is the reciprocal of the sine ratio.
Why will sin and cosecant have the same sign?
The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.
What is a reciprocal trig function?
A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.
If the time period of a sine wave 2.5 us what is the frequency?
The period of a sine wave is the reciprocal of the frequency. So, if the time period is 2.5 microseconds, the frequency would be 1 / 2.5 microseconds, which is 400 kHz.
Examples of operations of functions in trigonometry?
Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1.
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 trigonometry of reciprocal relation?
cosecant = 1/sine secant = 1/cosine cotangent = 1/tangent
What is the period of a 250Hz sine wave?
The period is the reciprocal of the frequency, in this case, 1/250 second.
How do you express complementary angles into a trigonometric function?
The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.
What is the cosecant of a 63 degree angle?
Please do this kind of calculation on your scientific calculator. You can use the one that comes with Windows or whatever operating system you are using. The cosecant is the reciprocal of the sine, therefore, calculate 1 / sine(63).
