Class 12 Maths – RD Sharma Chapter 4 : Inverse Trigonometric Function Multiple Choice Questions (MCQs) Solutions (Step-by-Step Guide)

RD Sharma Chapter 4 : Inverse Trigonometric Function Multiple Choice Questions (MCQs) Solutions

  1. If tan^-1{(√1+x^2)-(√1-x^2)/(√1+x^2)+(√1-x^2)} = α, then x^2= Watch Solution
  2. The value of tan{cos^-1(1/5√2) – sin^-1(4/17)} is Watch Solution
  3. 2tan^-1{cosec(tan^-1x) – tan(cot^-1x)} is equal to Watch Solution
  4. If cos^-1(x/a) + cos^-1(y/b) = α, then x^2/a^2 – (2xy/ab)cosα + y^2/b^2 = Watch Solution
  5. The positive integral solution of the equation tan^-1x + cos^-1(y/(√1+y^2) = sin^-1(3/√10) is Watch Solution
  6. If sin-1x – cos^-1x = π/6, then x = Watch Solution
  7. sin[cot^-1{tan(cos^-1x)}] is equal to Watch Solution
  8. The number of solutions of the equation tan^-1 2x + tan^-1 3x = π/4 is Watch Solution
  9. If α = tan^-1(tan5π/4) and β = tan^-1(-tan2π/3), then Watch Solution
  10. The number of real solutions of the equation √1+cos2x = √2sin^-1(sinx), -π ≤ x ≤ π is Watch Solution
  11. If x < 0, y < 0 such that xy = 1, then tan^-1x + tan^-1y equals Watch Solution
  12. If u = cot^-1{√tanθ} – tan^-1{√tanθ} then, tan(π/4 – u/2) = Watch Solution
  13. If cos^-1(x/3) + cos^-1(y/2) = θ/2, then 4x^2 – 12xycosθ/2 + 9y^2 = Watch Solution
  14. If α = tan^-1(√3x/(2y-x)), β = tan^-1((2x-y)/√3y), then α – β = Watch Solution
  15. Let f(x) = e^(cos – 1){sin(x + π/3)}. Then f(8π/9) = Watch Solution
  16. tan^-1(1/11) + tan^-1(2/11) is equal to Watch Solution
  17. If cos^-1(x/2) + cos^-1(y/3) = θ, then 9x^2 – 12xycosθ + 4y^2 is equal to Watch Solution
  18. If tan^-13 + tan^-1x = tan^-1(8), then x = Watch Solution
  19. The value of sin^-1(cos(33π/5)) is Watch Solution
  20. The value of cos^-1(cos(5π/3) + sin^-1(sin5π/3) is Watch Solution
  21. sin{2cos^-1(-3/5)} is equal to Watch Solution
  22. If θ = sin^-1(sin(-600°)}, then one of the possible value of θ is Watch Solution
  23. If 3sin^-1(2x/(1+x^2)) – 4cos^-1((1-x^2)/(1+x^2)) + 2tan^-1(2x/(1-x^2)) = π/3, then x is equal to Watch Solution
  24. If 4cos^-1x + sin^-1x = π, then the value of x is Watch Solution
  25. If tan^-1(x+1/x-1) + tan^-1((x-1)/x) = tan^-1(-7), then the value of x is Watch Solution
  26. If cos^-1x greater than sin^-1x, then Watch Solution
  27. In a ∆ABC, if C is a right angle, then tan^-1(a/(b+c)) + tan^-1(b/(c+a)) = Watch Solution
  28. The value of sin(1/4sin^-1(√63/8)) is Watch Solution
  29. cot(π/4 – 2cot^-1(3)) = Watch Solution
  30. If tan^-1(cotθ) = 2θ, then θ = Watch Solution
  31. If sin^-1(2a/(1+a^2) + cos^-1((1-a^2)/(1+a^2)) = tan^-1(2x/1-x^2), where α, x ∈(0,1), then the value of x is Watch Solution
  32. The value of sin(2(tan^-10.75)) is equal to Watch Solution
  33. If x > 1, then 2tan^-1x + sin^-1(2x/(1+x^2)) is equal to Watch Solution
  34. The domain of cos^-1(x^2 – 4) is Watch Solution
  35. The value of tan(cos^-1(3/5) + tan^-1(1/4)) is Watch Solution

 

 

INVERSE TRIGONOMETRIC FUNCTIONS R.D. Sharma Class 12th Math

  1. Inverse Trigonometric Functions Exercise 4.1 Video Solution
  2. Inverse Trigonometric Functions Exercise 4.2 Video Solution
  3. Inverse Trigonometric Functions Exercise 4.3 Video Solution
  4. Inverse Trigonometric Functions Exercise 4.4 Video Solution
  5. Inverse Trigonometric Functions Exercise 4.5 Video Solution
  6. Inverse Trigonometric Functions Exercise 4.6 Video Solution
  7. Inverse Trigonometric Functions Exercise 4.7 Video Solution
  8. Inverse Trigonometric Functions Exercise 4.8 Video Solution
  9. Inverse Trigonometric Functions Exercise 4.9 Video Solution
  10. Inverse Trigonometric Functions Exercise 4.10 Video Solution
  11. Inverse Trigonometric Functions Exercise 4.11 Video Solution
  12. Inverse Trigonometric Functions Exercise 4.12 Video Solution
  13. Inverse Trigonometric Functions Exercise 4.13 Video Solution
  14. Inverse Trigonometric Functions Exercise 4.14 Video Solution
  15. Inverse Trigonometric Functions Very Short Answer Questions (VSAQs) Video Solution
  16. Inverse Trigonometric Functions Multiple Choice Questions (MCQs) Video Solution

 

 

 

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