Table of Contents
What is sin inverse a B?
sin (A + B) = x√(1 – y2) + y√(1 – x2) ⇒ A + B = sin-1 [x√(1 – y2) + y√(1 – x2)]
What is the formula for inverse sine?
In a right-angled triangle, the sine of an angle (θ) is the ratio of its opposite side to the hypotenuse. i.e., sin θ = (opposite side) / (hypotenuse). Then by the definition of inverse sine, θ = sin-1[ (opposite side) / (hypotenuse) ] .
Is sin inverse the same as Cosecant?
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 inverse of basic sine function?
Inverse sine is the inverse of basic sine function. In the sine function, value of angle θ is taken to give the ratio opposite/hypotenuse. However, inverse sine function takes the ratio opposite/hypotenuse and gives angle θ. sin -1 (opposite/hypotenuse) = θ
What is the difference between arcsin α and 1 sin x?
Arcsin α means the arc whose sine is α. Whereas 1/sin x shows the reciprocal of sine function, which is also equal to cosecant function. Is sine inverse equal to cosec function? Sine inverse or arcsine is the inverse of sine function which returns the value of angle for which sine function is equal to opposite side and hypotenuse ratio.
What is the formula for inverse trigonometric functions?
The inverse trigonometric functions are written as sin -1 x, cos -1 x, cot -1 x, tan -1 x, cosec -1 x, sec -1 x. Now, let us get the formulas related to these functions.
What is the value of SIN-1 for sin 90?
Fact: If the ratio of opposite side of angle θ and hypotenuse equals to 1, then, θ = sin-1 (1) = sin-1 (sin 90) = 90 degrees The function of inverse or inverse function is used to determine the angle measure, with the use of basic trigonometric ratios from the right triangle. Mostly, the inverse sine function is represented using sin-1.