Show inverse trigonometric functions, Mathematics

Assignment Help:

Q. Show Inverse Trigonometric Functions?

Ans.

Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'. Here is a table that summarizes the names and symbols used for the most common inverse trig functions:

1344_Show Inverse Trigonometric Functions.png

 

IMPORTANT: You have most likely seen the negative superscript symbol used before to denote an exponent. Although the symbol is the same, when we deal with functions, the meaning is different.

2470_Show Inverse Trigonometric Functions1.png

acsin and sin-1 mean the same thing. These functions are the inverse of sine.

Here are some examples. For simplicity, suppose we are only concerned with angles in the first quadrant.

Since then .

It may help if you think of the arcsine function as giving you back the angle you would need to take the sine of

1319_Show Inverse Trigonometric Functions2.png


Related Discussions:- Show inverse trigonometric functions

Intergration, Functional and variations.Block III, Consider the functiona...

Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'

Calculate the area and perimeter of a right triangle, Calculate the area an...

Calculate the area and perimeter of a right triangle: Calculate the area and perimeter of a right triangle with a 9" base and sides measuring 12 and 15.  Be sure to involve th

Equivelent ratios, if 2 ballons cost 12 coins,use equivelent ratios to see ...

if 2 ballons cost 12 coins,use equivelent ratios to see how many coins 8 ballons would cost

Two circles touch internally, Two circles touch internally at a point P and...

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:

The square of a positive number is 49 what is the number, The square of a p...

The square of a positive number is 49. What is the number? Let x = the number.  The sentence that is , "The square of a positive number is 49," translates to the equation x 2

In the terms of x, The length of Kara's rectangular patio can be expressed ...

The length of Kara's rectangular patio can be expressed as 2x - 1 and the width can be expressed as x + 6. In the terms of x, what is the area of her patio? Since the area of a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd