Quick Answer: What Is The Sine Inverse Of 0?

Is cot the inverse of tan?

cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse.

arctan(x) is the angle whose tangent is x..

What is CSC of an angle?

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite.

What is the inverse of sin?

It answers the question “what angle has sine equal to opposite/hypotenuse?” The symbol for inverse sine is sin-1, or sometimes arcsin.

Is Arcsin the inverse of sin?

The arcsin function is the inverse of the sine function. It returns the angle whose sine is a given number. … Means: The angle whose sin is 0.5 is 30 degrees. Use arcsin when you know the sine of an angle and want to know the actual angle.

Is sin 1 the same as 1 sin?

The notation sin-1(x) has been misunderstood to mean 1/sin(x). … So sin-1(x) means the inverse sine of x, that is, the function that undoes the sine function. It is not equal to 1/sin(x).

Is inverse sin the same as CSC?

Inverse Reciprocal Trigonometric Functions We already know that the cosecant function is the reciprocal of the sine function. This will be used to derive the reciprocal of the inverse sine function. Because cosecant and secant are inverses, \begin{align*}\sin^{-1} \frac{1}{x} = \csc^{-1} x\end{align*} is also true.

Is Arcsin the same as sin 1?

Strictly speaking, the symbol sin-1( ) or Arcsin( ) is used for the Arcsine function, the function that undoes the sine. … Think of the Arcsine as the principal arcsine. Restrict the domain to take this inverse function. A function can only be an inverse if it is 1-to-1 and undoes exactly the desired function.

Is CSC the inverse of cos?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

What is the value of sin inverse 1 by 3?

arcsin ( 1/3) = 19.47122063…^o = 0.339836836909… rad. rational form ( integer )/( integer ). Philosophy is not firm.

What is the sin inverse of 1 2?

We know that sin(π6)=12 and so, sin(−π6)=−12 . Therefore, the (principal) inverse sine of −12 is −π6 .

How do you calculate sin?

Sin, Cos and TanThe sine of the angle = the length of the opposite side. the length of the hypotenuse.The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Is Arc and inverse the same?

The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc.

Why is it called Arcsin?

If you have a numerical value and you want the size of the angle whose sine has this value, you get something like this, where the value is a number and the arcsin is expressed in degrees of arc. It essentially reverses the process of the sine function. … It is called “arcsin” because it gives you a measure of the arc.