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Questions  

sec–1(sin2x) is well-defined if and only if

a
x∈−12,12
b
x ∈ R
c
x∈(2n+1)π2:n∈Z
d
none of these

detailed solution

Correct option is C

sec–1(sin2x) is well defined if and only ifsin2x ≥ 1 ⇔ sin2x = 1 (∴ sin2x >/ 1)∴x=nπ+π2,n∈Z

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