What is the principal value of arcsin(1/2)?
Answer and explanation
Correct answer: C. pi / 6
- Step 1: The principal range of arcsin is [-pi/2, pi/2]. Step 2. Within this range, sin(pi/6) = 1/2, so arcsin(1/2) = pi/6. Answer: pi / 6. Why not the others: pi/3 is arccos(1/2); pi/4 is arcsin(1/root 2); 5pi/6 is outside principal range.
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