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)}]

Perform algebraic operation , Perform each of the following algebraic expr...

Perform each of the following algebraic expression as instruction says;- I.Multiply 5x+6m+4y by5 II.Divide 4ax+6ay-10az by 2a

Solutions to systems, Now that we've found some of the fundamentals out of ...

Now that we've found some of the fundamentals out of the way for systems of differential equations it's time to start thinking about how to solve a system of differential equations

Prove that if x is a real number then [2x] = [x] + [x + ½ ], Prove that if...

Prove that if x is a real number then [2x] = [x] + [x + ½ ] Ans: Let us consider x be any real number. It comprises two parts: integer and fraction. With no loss of

Regression model, Consider the regression model  Y i = a + bX i + u i ,  ...

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

Which state sold corsica to france in 1768, By which of those ancient civil...

By which of those ancient civilizations was Machu Pichu built? The Aztecs The Egyptians The Mayas The Incas Which state sold Corsica to France in 1768? - Not answered Genoa Veni

Ordinary and partial differential equations, A differential equation is ter...

A differential equation is termed as an ordinary differential equation, abbreviated through odes, if this has ordinary derivatives in it. Similarly, a differential equation is term

Interpretation of r – problems in interpreting r values, Interpretation of ...

Interpretation of r - Problems in interpreting r values A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that th

Substitution rule for definite integrals, Substitution Rule for Definite In...

Substitution Rule for Definite Integrals Now we need to go back and revisit the substitution rule as it also applies to definite integrals.  At some level there actually isn't

Unit rates with fractions, a math problem that involves the numbers $112 fo...

a math problem that involves the numbers $112 for 8 hours

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