What is the relationship between sin and csc?
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What is the relationship between sin and csc?
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
What is the relationship between sine and arcsine?
The arcsin function is the inverse of the sine function. It returns the angle whose sine is a given number. Try this Drag any vertex of the triangle and see how the angle C is calculated using the arcsin() function. Means: The angle whose sin is 0.5 is 30 degrees.
Is arcsin equal to cosecant?
The arcsin is the value of the angle whose sin is that number. The cosecant is 1 divided by the sin of the angle. Arcsin is the inverse trigonometric function of sine while cosecant is the reciprocal of sine. Since sine is opposite over hypotenuse, cosecant can be expressed as hypotenuse over opposite or 1/sine.
What is the sine of arcsine?
Arcsin rules
Rule name | Rule |
---|---|
Sine of arcsine | sin( arcsin x ) = x |
Arcsine of sine | arcsin( sin x ) = x+2kπ, when k∈ℤ (k is integer) |
Arcsin of negative argument | arcsin(-x) = – arcsin x |
Complementary angles | arcsin x = π/2 – arccos x = 90° – arccos x |
What is difference between sine and Arcsine?
What is the difference between Sine and Inverse Sine (Arcsine)? Sine is a basic trigonometric function, and the arcsine is the inverse function of the sine.
What is cosecant equal to?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
Is arcsine inverse sine?
Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range.
What is the difference between arcsine and sine?
What is the difference between sine and arcsine?
What is inverse of sine equal to?
The Sine of angle θ is: sin(θ) = Opposite / Hypotenuse. And Inverse Sine is : sin-1 (Opposite / Hypotenuse) = θ