Class CBSE Class 12 Mathematics Inverse Trigonometric Functions Q #790
KNOWLEDGE BASED
APPLY
1 Marks 2023 MCQ SINGLE
sin[ π/3 + sin⁻¹(1/2) ] is equal to
(A) 1
(B) 1/2
(C) 1/3
(D) 1/4
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AI Tutor Explanation

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Step-by-Step Solution

  1. First, evaluate the inverse trigonometric function: sin⁻¹(1/2) = π/6
  2. Substitute this value back into the original expression: sin[ π/3 + π/6 ]
  3. Simplify the expression inside the sine function: π/3 + π/6 = π/2
  4. Evaluate the sine function: sin(π/2) = 1

Correct Answer: 1

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AI Suggestion: Option A

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Pedagogical Audit
Bloom's Analysis: This is an APPLY question because the student needs to apply the knowledge of trigonometric identities and inverse trigonometric functions to solve the given problem.
Knowledge Dimension: PROCEDURAL
Justification: The question requires the student to follow a specific procedure involving evaluating the inverse trigonometric function and then applying trigonometric identities to simplify and find the final value.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question directly tests the student's understanding and application of trigonometric formulas and inverse trigonometric functions, which are core concepts covered in the textbook.

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