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Discussion

In a right-angled triangle ABC, right-angled at B, if \(\tan A = 1\), then the value of \(2 \sin A \cos A\) is:

  • A.0
  • B.1
  • C.2
  • D.1/2

Answer: B

If \(\tan A = 1\), then A = 45°.

The expression \(2 \sin A \cos A\) is the double angle identity for sine, \(\sin(2A)\).

So, we need to find \(\sin(2 \times 45°) = \sin(90°)\).

The value of \(\sin 90°\) is 1.

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