Home
Class 12
MATHS
If tan^-1(frac{x-1}{x-2})+tan^-1(frac{x+...

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

A

`(1)/(sqrt(2))`

B

`-(1)/(sqrt(2))`

C

`pmsqrt((5)/(2))`

D

`pm(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If tan^-1 2x+tan^-1 3x = frac{pi}{4} , then find the value of x.

Prove the following: tan^-1(frac{1}{2})+tan^-1(frac{1}{3}) = frac{pi}{4}

If sin^-1(1-x)-2sin^-1x = frac{pi}{2} then find the value of x

Show that tan^-1(frac{1}{2})-tan^-1(frac{1}{4}) = tan^-1(frac{2}{9})

Prove the following: 2tan^-1(frac{1}{3}) + tan^-1(frac{1}{7}) = frac{pi}{4}

Show that cot^-1(frac{1}{3})-tan^-1(frac{1}{3}) = cot^-1(frac{3}{4})

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})

Select the correct option from the given alternatives: 2tan^-1(frac{1}{3})+tan^-1(frac{1}{7}) = A) tan^-1(frac{4}{5}) B) frac{pi}{2} C) 1 D) frac{pi}{4}

Prove the following: 2tan^-1(frac{1}{3})+cos^-1(frac{3}{5}) = frac{pi}{2}

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