1.hasil dari sin 120° cos 60° =
2. nilai tan 240° - tan 210° adalah
minta tolong dikerjakan ya pakai cara nya juga
terima kasih
2. nilai tan 240° - tan 210° adalah
minta tolong dikerjakan ya pakai cara nya juga
terima kasih
izharulhaq78
![\sin120\cos60=\sin(180-60)\cos60\\\sin120\cos60=[\sin180\cos60-\cos180\sin60]\cos60\\\sin120\cos60=[\sin60]\cos60\\\sin120\cos60=\frac{1}{2}\times\sin(2\times60)\\\sin120\cos60=\frac{1}{2}\times\sin(120)\\\sin120\cos60=\frac{1}{2}\times\sin(90+30)\\\sin120\cos60=\frac{1}{2}\times[\sin90\cos30-\cos90\sin30)]\\\sin120\cos60=\frac{1}{2}\times[\cos30]\\\sin120\cos60=\frac{1}{2}\times\frac{1}{2}\sqrt3\\\boxed{\sin120\cos60=\frac{1}{4}\sqrt3}](https://tex.z-dn.net/?f=%5Csin120%5Ccos60%3D%5Csin%28180-60%29%5Ccos60%5C%5C%5Csin120%5Ccos60%3D%5B%5Csin180%5Ccos60-%5Ccos180%5Csin60%5D%5Ccos60%5C%5C%5Csin120%5Ccos60%3D%5B%5Csin60%5D%5Ccos60%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Csin%282%5Ctimes60%29%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Csin%28120%29%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Csin%2890%2B30%29%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5B%5Csin90%5Ccos30-%5Ccos90%5Csin30%29%5D%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5B%5Ccos30%5D%5C%5C%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5Csqrt3%5C%5C%5Cboxed%7B%5Csin120%5Ccos60%3D%5Cfrac%7B1%7D%7B4%7D%5Csqrt3%7D "\sin120\cos60=\sin(180-60)\cos60\\\sin120\cos60=[\sin180\cos60-\cos180\sin60]\cos60\\\sin120\cos60=[\sin60]\cos60\\\sin120\cos60=\frac{1}{2}\times\sin(2\times60)\\\sin120\cos60=\frac{1}{2}\times\sin(120)\\\sin120\cos60=\frac{1}{2}\times\sin(90+30)\\\sin120\cos60=\frac{1}{2}\times[\sin90\cos30-\cos90\sin30)]\\\sin120\cos60=\frac{1}{2}\times[\cos30]\\\sin120\cos60=\frac{1}{2}\times\frac{1}{2}\sqrt3\\\boxed{\sin120\cos60=\frac{1}{4}\sqrt3}")
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