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Sine and cosine are fundamental trigonometric functions that relate the angles of a right triangle to the ratios of its sides: sine represents the ratio of the length of the opposite side to the hypotenuse, while cosine represents the ratio of the adjacent side to the hypotenuse. Versine, or "versed sine," is an older term for the function defined as (1 - \cos(x)). Inverse sine, or arcsine, is the function that returns the angle whose sine is a given number, typically denoted as (\sin^{-1}(x)) or (\arcsin(x)). These functions are essential in various applications, including geometry, physics, and engineering.
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What are some contributions of Aryabhata to maths?
# HE USED LETTERS FOR UNKNOWN QUANTITIES. # WORKED ON THE APPROXIMATION OF "PI" TO 4 DECIMAL PLACES AND DEFINED IT AS IRRATIONAL. # GAVE THE AREA OF TRIANGLE AND CIRCLE. # DEFINED SINE, COSINE, VERSINE AND INVERSE SINE.
What is reciprocal in trigonometry?
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
What is the inverse sine function?
The inverse sine is the cosecant, otherwise known as "hypotenuse over opposite" or arcsine. The cosecant is often confused as being the inverse of the cosine, which, in reality, is the secant, otherwise known as "hypotenuse over adjacent" or arccosine.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
The inverse of the cosine function?
Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.
What are some contributions of Aryabhata to maths?
# HE USED LETTERS FOR UNKNOWN QUANTITIES. # WORKED ON THE APPROXIMATION OF "PI" TO 4 DECIMAL PLACES AND DEFINED IT AS IRRATIONAL. # GAVE THE AREA OF TRIANGLE AND CIRCLE. # DEFINED SINE, COSINE, VERSINE AND INVERSE SINE.
What is reciprocal in trigonometry?
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
What are inverse sine inverse cosine and inverse tangent used for?
to find the measure of an angle. EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A
What is the inverse sine function?
The inverse sine is the cosecant, otherwise known as "hypotenuse over opposite" or arcsine. The cosecant is often confused as being the inverse of the cosine, which, in reality, is the secant, otherwise known as "hypotenuse over adjacent" or arccosine.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
The inverse of the cosine function?
Inverse of Cosine is 'ArcCos' or Cos^(-1) The reciprocal of Cosine is !/ Cosine = Secant.
Aryabhatta contribution in maths?
i got this off another persons question but it is nearly the exact same question.HE USED LETTERS FOR UNKNOWN QUANTITIES.WORKED ON THE APPROXIMATION OF "PI" TO 4 DECIMAL PLACES AND DEFINED IT AS IRRATIONAL.GAVE THE AREA OF TRIANGLE AND CIRCLE.DEFINED SINE, COSINE, VERSINE AND INVERSE SINE.well i hope that you ENJOY :)
What is an inverse cosine?
The inverse of the cosine is the secant.
Is the inverse function of secant is the cosecant function?
No. The inverse of the secant is called the arc-secant. The relation between the secant and the cosecant is similar to the relation between the sine and the cosine - they are somehow related, but they are not inverse functions. The secant is the reciprocal of the cosine (sec x = 1 / cos x). The cosecant is the reciprocal of the sine (cos x = 1 / sin x).
Is the inverse cosine of 0.55?
The inverse if cosine 0.55 is 0.55
If two integers have the same sign what is the sine of their sum?
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
