If (tan^(-1)x)^(2) +(cot^(-1)x)^(2) =(5p...

If `(tan^(-1)x)^(2) +(cot^(-1)x)^(2) =(5pi^(2))/(8)`, then find x.

Verified by Experts

The correct Answer is:

x = -1

INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PRAKASHAN|Exercise Chapter Test (1 MARK Questions) |7 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PRAKASHAN|Exercise Chapter Test (4 MARKS Questions) |5 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PRAKASHAN|Exercise PRACTICE QUESTIONS (Exams., Textbook.s & Other Imp. Questions) (4 MARKS Questions) |27 Videos
INTEGRATION
ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS) |7 Videos
LINEAR PROGRAMMING
ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |10 Videos

In a triangle ABC "if" m/A =90^@, "prove that "tan"^(-1) b/(a+b) +"ta...
Text Solution
|
If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
Text Solution
|
If (tan^(-1)x)^(2) +(cot^(-1)x)^(2) =(5pi^(2))/(8), then find x.
Text Solution
|
Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).
Text Solution
|
If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "co...
Text Solution
|