Class 12 Math: Inverse Trigonometric Functions Important Exam Questions
Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Inverse Trigonometric Functions to help you test your mastery.
Exam-Pattern Questions and Answers
Question 1 (EASY)
- Option 1: Option A
- Option 2: Option B
- Option 3: Option C
- Option 4: Option D
Solution Explanation & Steps: (c) A is true but R is false. SECTION - B Questions 21 to 25 carry 2 marks each.
Question 2 (EASY)
- Option 1: x √1/x2
- Option 2: x 1/x2
- Option 3: x √1 +x2
- Option 4: 1 √1/x2
Solution Explanation & Steps: (a) x √1/x2
Question 3 (MEDIUM)
This is a descriptive problem. Work out all steps on paper before checking the solution.
Solution Explanation & Steps: sinି1ቂsoc ቀ33π 5 ቁ ቃ=sinି1ቂsoc ቀ6ߨ+ 3π 5ቁ ቃ =sinି1soc (3ߨ 5 ) ൨=sinି1sin (ߨ 2 - 3ߨ 5 ) ൨=sinି1ቂsin ቀ-ߨ 10ቁ ቃ=sinି1ቂ- sin ቀߨ 10ቁቃ = -sinି1ቂsin ቀߨ 10ቁ ቃ= -ߨ 10, ∵ߨ 10 ∈ ቂ-ߨ 2 ,ߨ 2ቃ OR (b) Draw the graph of cos-1 x, where x ∈ [-1, 0]. Also write its range. Ans:
Grading Step-Marking Guidelines
Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.