Home
Class 12
MATHS
Simplify: tan^-1[frac{acosx-bsinx}{bcosx...

Simplify: `tan^-1[frac{acosx-bsinx}{bcosx+asinx}]` if `frac{a}{b} tanx gt -1`

A

`tan^(-1)((a)/(b)-x)`

B

`cot^(-1).(a)/(b)x`

C

`tan^(-1).(a)/(b)-x`

D

`cot^(-1)((a)/(b)-x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Prove the following: tan^-1[frac{cosx+sinx}{cosx-sinx}] = frac{pi}{4} + x

Prove the following: tan^-1[sqrt(frac{1-cosx}{1+cosx})] = frac{x}{2}

Prove the following: tan^-1(frac{costheta+sintheta}{costheta-sintheta}) =frac {pi}{4}+theta if theta belongs to (-frac{pi}{4},frac{pi}{4})

Solve tan^-1(frac{1-x}{1+x}) = frac{1}{2}tan^-1x , for x gt 0

Simplify: [ frac{1}{1-2i} + frac{3}{1+i} ] [ frac{3+i}{2-4i} ]

Simplify: i^68 + frac{1}{i^145}

Prove the following: tan^-1(sqrt(frac{1-costheta}{1+costheta})) = frac{theta}{2} , if theta lies in (-pi,pi)

If tan^-1(frac{x-1}{x-2})+tan^-1(frac{x+1}{x+2}) = frac{pi}{4} then find value of x

Select and write the correct answer from the given alternative in the following:If x gt 0 , y gt 0 and xy<1 then tan^-1x+tan^-1y = .......... A) tan^-1(frac{x+y}{1-xy}) B) tan^-1(frac{x-y}{1+xy}) C) frac{pi}{2} D) pi+tan^-1(frac{x+y}{1-xy})

Prove the following: 2tan^-1(frac{1}{2})+tan^-1(frac{1}{7}) = tan^-1(frac{31}{17})