ABCD is a rectangle of which AC is a diagonal. The value

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ABCD is a rectangle of which AC is a diagonal. The value of (tan² ∠CAD + 1) sin² ∠BAC is

1. 2
2. 1
  4
3. 1
4. 0

Correct Option: C

∠ACD = 45°
∠BAC = 45°
∴ (tan² ∠CAD + 1).sin² ∠BAC
= (tan² 45° + 1) sin² 45°

=(1 + 1) ×		1		= 2 ×	1	= 1
		√2			2