Question

Cos 330-sin 150/cos 330+sin 150

Answer 1

Verified answer

Trigonometri
menentukan nilai fungsi trigonometri sudut istimewa


Nilai dari
(cos 330 - sin 150) / (cos 330 + sin 150) =
= (cos (360 - 30) - sin (180 - 30) ) / ( cos (360 - 30) + sin (180 - 30) )
= (cos 30 - sin 30) / (cos 30 + sin 30)
= (1/2 √3 - 1/2) / (1/2 √3 + 1/2)
= (1/2)(√3 - 1) / (1/2)(√3 + 1)
= (√3 - 1) / (√3 + 1)  × (√3 - 1) / (√3 - 1)  [ kalikan sekawan ]
= 2 - √3


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