Inverse Trigonometric Functions and Their Graphs

Maths, HSSC-Punjab Second Year. This chapter is split into 53 topics and has 1,262 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Solving equations with inverse tangents 25 questions
2. Inverse sine: definition, domain, range and graph 22 questions
3. Domain of inverse secant and cosecant of linear and quadratic expressions 22 questions
4. Half-angle values: sine and cosine of half an inverse function 26 questions
5. Converting inverse functions: cosine to cosecant, tangent to sine and others 26 questions
6. Double of an inverse tangent expressed through other inverse functions 26 questions
7. Composite values: tangent and cotangent of an inverse function 26 questions
8. Trigonometric functions of inverse functions as expressions in x 20 questions
9. Principal values of inverse secant 22 questions
10. Inverse cotangent: definition, domain, range and graph 21 questions
11. Principal values of inverse cotangent 22 questions
12. Composite values: secant and cosecant of an inverse function 26 questions
13. Range of expressions involving inverse trigonometric functions 22 questions
14. Sum and difference formulas for inverse trigonometric functions 25 questions
15. Domain of inverse sine and cosine of a quadratic expression 20 questions
16. Sum of two inverse tangents 26 questions
17. Why the domains of trigonometric functions are restricted 24 questions
18. Exact values of trigonometric functions of an inverse function (rational arguments) 26 questions
19. Domain of inverse functions with square roots and logarithms 22 questions
20. Composite values: sine and cosine of an inverse function 26 questions
21. Half-angle values: tangent, cotangent, secant and cosecant of half an inverse function 26 questions
22. Solving equations with inverse sine and cosine 23 questions
23. Principal values of inverse sine 24 questions
24. Principal values of inverse cosecant 22 questions
25. Converting inverse functions: secant, cotangent and sine forms 26 questions
26. Inverse function of the same function: f inverse of f(x) outside the principal range 26 questions
27. Summary of domains and ranges of principal trigonometric and inverse functions 26 questions
28. Solving f inverse of x equal to a given angle 26 questions
29. Inverse secant: definition, domain, range and graph 20 questions
30. Domain of inverse cosine of a linear expression and its range 20 questions
31. Exact values such as sine of cosine inverse and tangent of sine inverse 26 questions
32. Inverse cosine: definition, domain, range and graph 21 questions
33. Principal values of inverse secant and cosecant of trigonometric values 26 questions
34. Sum of two inverse sines expressed as an inverse cosine 26 questions
35. Principal values of inverse sine and cosine of trigonometric values 26 questions
36. Principal values of inverse cosine 24 questions
37. Recall: inverse of a function 24 questions
38. Applications: angles found with inverse trigonometric functions 20 questions
39. Equations with doubled inverse functions and unknown x 23 questions
40. Inverse functions of negative arguments 26 questions
41. Inverse cosecant: definition, domain, range and graph 21 questions
42. Reciprocal relations between inverse functions 22 questions
43. Complementary relations: sum of an inverse function and its co-function 26 questions
44. Domain of inverse sine of a linear expression 24 questions
45. Points on the graphs of inverse trigonometric functions 26 questions
46. Inverse tangent: definition, domain, range and graph 20 questions
47. Converting between inverse functions of the same acute angle (right triangle) 26 questions
48. Proof steps and worked identities 26 questions
49. Double of an inverse sine or cosine 21 questions
50. Difference of two inverse cosines 26 questions
51. Notation of inverse trigonometric functions 20 questions
52. Principal values of inverse tangent 22 questions
53. Principal values of inverse tangent and cotangent of trigonometric values 26 questions