Inverse Trigonometric Functions

By now you must be well aware of the properties of simple trigonometric angles and their identities. But do you know what inverse trigonometric functions are? They find their applications across multiple fields. For example, if you find the ration of two sides of a right triangle, can you find the angle between them? Well, yes you can. Let’s find out more in the sections below.

FAQ on Inverse Trigonometric Functions

Question 1: What are the inverse trigonometric functions?

Answer: Inverse trigonometric functions are also referred to as arcus functions or anti-trigonometric functions. They are the inverse functions of the trigonometric functions that have domains which are duly constrained. Further, they are particularly inverse functions of the sine, cosine, tangent, cotangent, secant, and cosecant functions. Similarly, they are used to attain an angle from any of the angle’s trigonometric ratios.

Question 2: What is the inverse of cos?

Answer:  The inverse of the cosine function is arccos. In other words, it is one which returns the angle whose cosine is a certain number.

Question 3: How do you find the inverse of a trig function?

Answer: If you need to find the inverse of an equation like sin y = 1/2, you need to solve for the following statement:

Y equals the angle having a sine of 1/2′

In trig speak, we write this statement as:

Y = sin-1 (1/2).

Thus, this notation includes putting a -1 in the superscript position.

Question 4: Where do we use inverse trigonometric functions?

Answer: We make use of trigonometric functions in a lot of fields. For instance, we make use of it in engineering, navigation. Further, it is also used in physics and geometry.

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