Given below are two statements, one labelled Assertion (A) and the other labelled Reason (R). Assertion (A): The range of the function f(x) = 2 sin-1x + 3π2, where x ∈ [-1, 1], is [π/2, 5π/2]. Reason (R): The range of the principal value branch of sin-1x is [-π/2, π/2].

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Mathematics · Inverse Trigonometric Functions

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Assertion (A) is true and Reason (R) is false.

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Answer 1

Assertion (A) is false and Reason (R) is true.

Answer 2

Assertion (A) is true and Reason (R) is false.

Answer 3

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

Answer 4

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

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