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Class 12 Inverse Trigonometric Functions · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Inverse Trigonometric Functions · Assertion Reason #25

Assertion: The function f:R→R, f(x)=sin x, is not a bijection. Reason: A function is a bijection if it is both one-one and onto.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. Both statements are true. The reason gives a definition but does not itself show a failure of either condition for sine. In fact f(0)=f(π) and the range is [−1,1], so f is neither injective nor onto R.

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