Class 12 Maths – RD Sharma Chapter 4 : Inverse Trigonometric Function Exercise 4.11 Solutions (Step-by-Step Guide)

RD Sharma Chapter 4 : Inverse Trigonometric Function Exercise 4.11 Solutions

1. Prove the result : sin^-1(12/13) + cos^-1(4/5) + tan^-1(63/16) = π Watch Solution
2. Prove the result : tan^-1(1/7)+tan^-1(1/13) = tan^-1(2/9) Watch Solution
3. Prove the result : tan^-1(1/4)+tan^-1(2/9) = sin^-1(1/√5) Watch Solution
4. Find the value of tan^-1(x/y) – tan^-1((x-y)/(x+y)) Watch Solution
5. Solve the equation for x : tan^-1(2x) + tan^-1(3x) = nπ + (3π/4) Watch Solution
6. Solve the equation for x : tan^-1(x+1) + tan^-1(x-1) = tan^-1(8/31) Watch Solution
7. Solve the equation for x : tan^-1(x-1) + tan^-1(x) + tan^-1(x+1) = tan^-1(3x) Watch Solution
8. Solve the equation for x : tan^-1((1-x)/(1+x)) – 1/2tan^-1(x) = 0, where x > 0  Watch Solution
9. Solve the equation for x : cot^-1(x)-cot^-1(x+2)= π/12, where x > 0 Watch Solution
10. Solve the equation for x : tan^-1(x+2) + tan^-1(x-2) = tan^-1(8/79), x > 0. Watch Solution
11. Solve the equation for x : tan^-1(x/2) + tan^-1(x/3) = π/4, 0 < x < √6 Watch Solution
12. Solve the equation for x : tan^-1((x-2)/(x-4)) + tan^-1((x+2)/(x+4)) = π/4 Watch Solution
13. Solve the equation for x : tan^-1(2+x) + tan^-1(2-x) = tan^-1(2/3), where x < -√3 or, x > √3 Watch Solution
14. Solve the equation for x : tan^-1((x-2)/(x-1)) + tan^-1((x+2)/(x+1)) = π/4 Watch Solution
15. Sum the following series : tan^-1(1/3) + tan^-1(4/33) +….+ tan^-1(2^(n-1))/{1+2^(2n-1)} Watch Solution