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Home › CBSE Class 12 (Commerce) › Mathematics › Inverse Trigonometric Functions › On the principal branch, cosec⁻¹ returns what fo…

On the principal branch, cosec⁻¹ returns what for input -√2?

A3π/4
Bπ/4
C-π/4
D-3π/4
Answer & Solution
Correct answer: C. -π/4
cosec(-π/4) = 1/sin(-π/4) = -√2, and -π/4 lies in the cosec⁻¹ range [-π/2, π/2] excluding 0.
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