If sinθ × cosθ = 1 .The value of sinθ

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sinθ. cosθ =	1
	2

⇒ 2 sinθ. cosθ = 1
⇒ sin2θ = 1 = sin 90°
⇒ 2θ = 90°
⇒ θ = 45°
∴ sinθ – cosθ = sin 45° – cos 45°

sin 45° – cos 45° =	1	-	1	= 0
	√2		√2

If sinθ × cosθ =	1	.The value of sinθ – cosθ is where 0° < θ < 90°
	2