Home
Class 12
MATHS
Write the simplest form of tan^(-1)[(aco...

Write the simplest form of `tan^(-1)[(acosx-bsinx)/(bcosx + asinx)]`, if`a/b tanx gt` -1.

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1)(3/4)-x`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - C|14 Videos
  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - D|10 Videos
  • II PUC TOPPER ANSWERS MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos
  • II PUC MARCH-2016

    OSWAAL PUBLICATION|Exercise PART - E|2 Videos
  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos

Similar Questions

Explore conceptually related problems

Write the simplest form of tan^(-1)[(3cosx-4sinx)/(4cosx+3sinx)] , if (3)/(4)tanxgt-1 .

Simplify: tan^(-1)[(acosx-bsinx)/(b cosx+a sinx)]

Write the simplest form of tan^(-1)((cosx-sinx)/(cosx+sinx)), 0 lt x lt (pi)/(2)

Write the simplest form of tan^(-1) [( 3 cos x - 4 sin x )/( 4 cos x + 3 sin x) ] , if (3)/(4) tan x gt -1

Write the simplest from of tan^(-1)((cos x -sin x)/(cos x+sin x)), 0 lt x lt pi/2

Write in the simplest form of tan^(-1)sqrt((1-cosx)/(1+cosx)),0ltxltpi

Write the following in the simplest form of "tan"^(-1)((cosx-sinx)/(cosx+sinx)),0ltxlt(pi)/2

Simplify: tan^(-1)[(2cosx-3sinx)/(3cosx+2sinx)],2/3tanx> -1

Find the simplest form of tan^(-1)sqrt3-sec^(-1)(-2) .

Write the domain of f(x) =tan^(-1) x