1. Tentukan himpunan penyelesaian 2sin 2x+3cos x-3=0 untuk 0 ° ≤ x ≤ 360 ° Jawab : 2sin 2x+3cos x-3=0 sin 2x=1-cos 2x 21- +3cos x-3= 2-2 . s +3cos x-3=0 -2cos 2x+3cos x-1=0 2cos 2x-3cos x+1=0 2cos x- . s cos x- . s =0 Maka : 2cos x-1=0 cos x-1=0 2cos x=... cos x=... cos x=frac 1 cos x=cos ... cos x=cos ... Kuadran I Kuadran I x=0 ° +k.360 ° x=60 ° +k . 360 ° k=0to x=0 ° + . s 360 ° =... k = 0to x=60 ° +... 360° = … k=1to x=0 ° + . s .360 ° =... k=1to x=60 ° + . s . 360 ° =... Kuadran IV Kuadran IV x=-0 ° +k.360 ° x=-60 ° +k . 360 ° k=0to x=-0 ° +...66 ° = .. k=0to x=-60 ° + . s . 360 ° =... k=1to x=-0 ° +...66 ° = k=1to x=-60 ° + . s . 360 ° =... Himpunan penyelesaian .. ,… ,-. , …
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