Sin[cot-1{cos(tan-1x)}], Mathematics

Assignment Help:

sin (cot-1 {cos (tan -1x)})

tan-1 x = A  => tan A =x

sec A = √(1+x2) ==>  cos A = 1/√(1+x2)    so   A =  cos-1(1/√(1+x2))

sin (cot-1 {cos (tan -1x)}) = sin (cot-1 {cos (cos-1(1/√(1+x2))}) 

=sin (cot-1 {(1/√(1+x2))})

if cot-1 {(1/√(1+x2))} = B

{(1/√(1+x2))} = cotB  ==>  cosec B = {(√[(2+x2)/(1+x2)])}

sin B = {(√[(1+x2)/(2+x2)]} ==>  B  = sin -1 ({(√[(1+x2)/(2+x2)]})

sin {sin -1 ({(√[(1+x2)/(2+x2)]})} = √[(1+x2)/(2+x2)]

the answer is √[(1+x2)/(2+x2)]

 


Related Discussions:- Sin[cot-1{cos(tan-1x)}]

Show that p ( x ) = 2 x3 - 5x2 -10 x + 5 intermediate value , Example   Sh...

Example   Show that p ( x ) = 2 x 3 - 5x 2 -10 x + 5 has a root somewhere in the interval [-1,2]. Solution What we're actually asking here is whether or not the function wi

Find and classify the differential equation, Find and classify the equilibr...

Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati

How to converting fractions to decimals explain with example, How to Conver...

How to Converting Fractions to Decimals explain with example? To convert fractions to decimals, divide the numerator by the denominator. The quotient is the decimal. Ex

the volume of a pyramid, Write a script to determine the volume of a pyram...

Write a script to determine the volume of a pyramid, which is 1/3 * base * height, where the base is length * width.  On time the user to enter values for the length, width, and th

Distance is given then find the value of k, In the graphical representatio...

In the graphical representation of a frequency distribution if the distance between mode and mean is k times the distance between median and mean then find the value of k.

Other ways to aid learning maths, OTHER WAYS TO AID LEARNING :  Here we sh...

OTHER WAYS TO AID LEARNING :  Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.

Unit Rates, I need help on how to do real word problm with unit rates.

I need help on how to do real word problm with unit rates.

Determine the angle in hexagonal-shaped nut, The figure provided below show...

The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?   a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula

Substitution, When I complete each of the three methods, should I get the s...

When I complete each of the three methods, should I get the same x and y values?

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