alleryThe principal value range of sin⁻¹(x) is:
AThe interval $(0, \pi)$ same as cos⁻¹
BOpen interval $(-\pi, \pi)$ full range
C$[-\pi/2, \pi/2]$ standard interval
DFull interval $[0, 2\pi]$ full circle
Answer & Solution
Correct answer: C. $[-\pi/2, \pi/2]$ standard interval
Principal value range of sin⁻¹: [-π/2, π/2]. cos⁻¹: [0, π]. tan⁻¹: (-π/2, π/2).
These ensure sin⁻¹ + cos⁻¹ etc. are functions (one-to-one).
Keep practising Trigonometric Functions
Browse all Trigonometric Functions questions for AP Intermediate 1st Year, or explore more Mathematics topics.