[{"_1":2,"_317":-5,"_318":-5},"loaderData",{"_3":4,"_28":29,"_316":-5},"root",{"_5":6,"_24":25,"_26":27},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17},"id",2,"title","قدرات عامة","slug","قدرات-عامة","description","اختبار القدرات للمرحلة الثانوية هو اختبار يقيس القدرة على الفهم والتطبيق والاستدلال والتحليل لدى الطالب من خلال اللغة والرياضيات، و معرفة قابلية الطالب للتعلم","metadata",{"_18":19,"_20":19,"_21":19,"_22":19,"_23":19},"support_dynamic_study_plan",true,"study_plan_based_on_section_level","placement_test_based_on_section_level","study_plan_based_on_topic_level","placement_test_based_on_topic_level","whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_30":31,"_98":99,"_297":298,"_310":311,"_312":27,"_313":32,"_314":315},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":52,"_69":70,"_75":76,"_80":81,"_82":27,"_83":-5,"_84":85,"_86":87,"_88":89,"_90":91,"_92":19,"_56":93,"_94":95,"_96":97},46129,"type","MULTIPLE_CHOICE","text","حل المعادلة \\ltr{\\cos \\theta = -\\frac{\\sqrt{3}}{2}} و \\ltr{0^\\circ \\leq \\theta \\leq 360^\\circ} هو..","حل المعادلة cosθ= -√(3)/2 و 0^∘≤θ≤360^∘ هو.. A)30^∘ B)30^∘ أو 210^∘ C)150^∘ أو 210^∘ D)لا يوجد لها حل ","46129-حل-المعادلة-}{2}}-و-هو-أو-أو-لا-يوجد-لها-حل","order",46,"unit_id",53,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[53,58,62,66],{"_8":54,"_35":55,"_56":57},179010,"\\ltr{30^\\circ}","renderedText"," $\"\"/$ ",{"_8":59,"_35":60,"_56":61},179011,"\\ltr{30^\\circ} أو \\ltr{210^\\circ}"," $\"\"/$ أو $\"\"/$ ",{"_8":63,"_35":64,"_56":65},179012,"\\ltr{150^\\circ} أو \\ltr{210^\\circ}"," $\"\"/$ أو $\"\"/$ ",{"_8":67,"_35":68,"_56":68},179014,"لا يوجد لها حل","previous_question",{"_8":71,"_33":34,"_35":72,"_12":73,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_74":-5,"_43":-5,"_50":-5},46127,"حل المعادلة \\ltr{\\sin{\\theta} = \\frac{1}{2}} و \\ltr{0^\\circ \\leq \\theta \\leq 360^\\circ} هو ..","46127-حل-المعادلة-=-{2}}-و-هو-أو-أو-أو","section_id","next_question",{"_8":77,"_33":34,"_35":78,"_12":79,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_74":-5,"_43":-5,"_50":-5},46131,"حل المعادلة \\ltr{3\\cos^2{\\theta}-4\\cos{\\theta}=0} و \\ltr{0^\\circ < \\theta \\leq 180^\\circ} هو ..","46131-حل-المعادلة-4=0}-و-هو-لا-يوجد-لها-حل-30","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",151,"unitTitle","حساب المثلثات","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","حل المعادلة $\"\"/$ و $\"\"/$ هو..","encodedPrevQuestionSlug","46127-%D8%AD%D9%84-%D8%A7%D9%84%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-%3D-%7B2%7D%7D-%D9%88-%D9%87%D9%88-%D8%A3%D9%88-%D8%A3%D9%88-%D8%A3%D9%88","encodedNextQuestionSlug","46131-%D8%AD%D9%84-%D8%A7%D9%84%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-4%3D0%7D-%D9%88-%D9%87%D9%88-%D9%84%D8%A7-%D9%8A%D9%88%D8%AC%D8%AF-%D9%84%D9%87%D8%A7-%D8%AD%D9%84-30","relatedQuestions",[100,120,140,160,180,199,219,239,259,277],{"_8":71,"_33":34,"_35":72,"_12":101,"_10":102,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":103,"_80":116,"_82":27,"_117":27,"_118":-5,"_56":119},"46127-%D8%AD%D9%84-%D8%A7%D9%84%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-=-%7B2%7D%7D-%D9%88-%D9%87%D9%88-%D8%A3%D9%88-%D8%A3%D9%88-%D8%A3%D9%88","حل المعادلة sinθ = 1/2 و 0^∘≤θ≤360^∘ هو .. A)60^∘ B)45^∘ أو 120^∘ C)60^∘ أو 120^∘ D)30^∘ أو 150^∘ ",[104,107,110,113],{"_8":105,"_35":106},179002,"\\ltr{60^\\circ}",{"_8":108,"_35":109},179003,"\\ltr{45^\\circ} أو \\ltr{120^\\circ}",{"_8":111,"_35":112},179004,"\\ltr{60^\\circ} أو \\ltr{120^\\circ}",{"_8":114,"_35":115},179005,"\\ltr{30^\\circ} أو \\ltr{150^\\circ}",[],"is_all_explanations_deleted","contents_tags_ids","حل المعادلة $\"\"/$ و $\"\"/$ هو ..",{"_8":121,"_33":34,"_35":122,"_12":123,"_10":124,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":125,"_80":138,"_82":27,"_117":27,"_118":-5,"_56":139},46121,"إذا كان \\ltr{\\sin^{-1}(\\cos{x}) = \\frac{\\pi}{6}} فما قيمة \\ltr{x} ؟","46121-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-()-=-%7B6%7D%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7D%7B3%7D%7D-%7B3%7D%7D-%7B6%7D%7D-%7B2","إذا كان sin^-1(cosx) = π/6 فما قيمة x ؟ A)π/6 B)1/2 C)π/3 D)√(3)/3 ",[126,129,132,135],{"_8":127,"_35":128},178978,"\\ltr{\\frac{\\pi}{6}}",{"_8":130,"_35":131},178979,"\\ltr{\\frac{1}{2}}",{"_8":133,"_35":134},178980,"\\ltr{\\frac{\\pi}{3}}",{"_8":136,"_35":137},178981,"\\ltr{\\frac{\\sqrt{3}}{3}}",[],"إذا كان $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":141,"_33":34,"_35":142,"_12":143,"_10":144,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":145,"_80":158,"_82":27,"_117":27,"_118":-5,"_56":159},46119,"قيمة \\ltr{\\sin^{-1} (\\cos 72^\\circ)} تساوي ..","46119-%D9%82%D9%8A%D9%85%D8%A9-(-72%5E)%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","قيمة sin^-1 (cos72^∘) تساوي .. A)72^∘ B)18^∘ C)38^∘ D)108^∘ ",[146,149,152,155],{"_8":147,"_35":148},178970,"\\ltr{72^\\circ}",{"_8":150,"_35":151},178971,"\\ltr{18^\\circ}",{"_8":153,"_35":154},178972,"\\ltr{38^\\circ}",{"_8":156,"_35":157},178973,"\\ltr{108^\\circ}",[],"قيمة $\"\"/$ تساوي ..",{"_8":161,"_33":34,"_35":162,"_12":163,"_10":164,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":165,"_80":178,"_82":27,"_117":27,"_118":-5,"_56":179},46118,"قياس الزاوية \\ltr{\\sin^{-1}\\left(\\frac{\\sqrt{2}}{2}\\right)} يساوي ..","46118-%D9%82%D9%8A%D8%A7%D8%B3-%D8%A7%D9%84%D8%B2%D8%A7%D9%88%D9%8A%D8%A9-(%7D%7B2%7D)%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","قياس الزاوية sin^-1(√(2)/2) يساوي .. A)-45^∘ B)45^∘ C)90^∘ D)180^∘ ",[166,169,172,175],{"_8":167,"_35":168},178963,"\\ltr{-45^\\circ}",{"_8":170,"_35":171},178965,"\\ltr{45^\\circ}",{"_8":173,"_35":174},178968,"\\ltr{90^\\circ}",{"_8":176,"_35":177},178969,"\\ltr{180^\\circ}",[],"قياس الزاوية $\"\"/$ يساوي ..",{"_8":181,"_33":34,"_35":182,"_12":183,"_10":184,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":185,"_80":197,"_82":27,"_117":27,"_118":-5,"_56":198},46115,"إذا علمنا أن \\ltr{0^\\circ < \\theta < 90^\\circ} و \\ltr{\\cos \\theta = \\frac{\\sqrt{3}}{2}} فإن قيمة \\ltr{\\tan \\frac{\\theta}{2}} تساوي ...","46115-%D8%A5%D8%B0%D8%A7-%D8%B9%D9%84%D9%85%D9%86%D8%A7-%D8%A3%D9%86-%D9%88-%7D%7B2%7D%7D-%D9%81%D8%A5%D9%86-%D9%82%D9%8A%D9%85%D8%A9-%7B2%7D%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7D%7B3%7D%7D-%7D%7D-2","إذا علمنا أن 0^∘< θ< 90^∘ و cosθ= √(3)/2 فإن قيمة tanθ/2 تساوي ... A)√(7 - 4√(3)) B)√(3) - 2 C)√(3)/3 D)√(3) ",[186,189,192,194],{"_8":187,"_35":188},178954,"\\ltr{\\sqrt{7 - 4\\sqrt{3}}}",{"_8":190,"_35":191},178955,"\\ltr{\\sqrt{3} - 2}",{"_8":193,"_35":137},178956,{"_8":195,"_35":196},178957,"\\ltr{\\sqrt{3}}",[],"إذا علمنا أن $\"\"/$ و $\"\"/$ فإن قيمة $\"\"/$ تساوي ...",{"_8":200,"_33":34,"_35":201,"_12":202,"_10":203,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":204,"_80":217,"_82":27,"_117":27,"_118":-5,"_56":218},46113,"إذا علمنا أن \\ltr{0^\\circ < \\theta < 90^\\circ} و \\ltr{\\cos \\theta = \\frac{1}{2}}، فإن قيمة \\ltr{\\cos \\frac{\\theta}{2}} تساوي ...","46113-%D8%A5%D8%B0%D8%A7-%D8%B9%D9%84%D9%85%D9%86%D8%A7-%D8%A3%D9%86-%D9%88-%7B2%7D%7D-%D9%81%D8%A5%D9%86-%D9%82%D9%8A%D9%85%D8%A9-%7B2%7D%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7D%7B2%7D%7D-%7B4%7D%7D-%7D%7B4%7D%7D-%7D%7B2","إذا علمنا أن 0^∘< θ< 90^∘ و cosθ= 1/2، فإن قيمة cosθ/2 تساوي ... A)√(3)/2 B)√(2)/2 C)√(3)/4 D)3/4 ",[205,208,211,214],{"_8":206,"_35":207},178946,"\\ltr{\\frac{\\sqrt{3}}{2}}",{"_8":209,"_35":210},178947,"\\ltr{\\frac{\\sqrt{2}}{2}}",{"_8":212,"_35":213},178948,"\\ltr{\\frac{\\sqrt{3}}{4}}",{"_8":215,"_35":216},178949,"\\ltr{\\frac{3}{4}}",[],"إذا علمنا أن $\"\"/$ و $\"\"/$ ، فإن قيمة $\"\"/$ تساوي ...",{"_8":220,"_33":34,"_35":221,"_12":222,"_10":223,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":224,"_80":237,"_82":27,"_117":27,"_118":-5,"_56":238},46112,"إذا علمت أن \\ltr{0^\\circ \\leq \\theta \\leq 90^\\circ} و \\ltr{\\tan \\theta = 0} فإن القيمة الدقيقة ل \\ltr{\\tan 2\\theta} تساوي..","46112-%D8%A5%D8%B0%D8%A7-%D8%B9%D9%84%D9%85%D8%AA-%D8%A3%D9%86-%D9%88-%D9%81%D8%A5%D9%86-%D8%A7%D9%84%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D8%AF%D9%82%D9%8A%D9%82%D8%A9-%D9%84-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7D%7B2","إذا علمت أن 0^∘≤θ≤90^∘ و tanθ= 0 فإن القيمة الدقيقة ل tan2θ تساوي.. A)0 B)1 C)√(2)2 D)2 ",[225,228,231,234],{"_8":226,"_35":227},178942,"\\ltr{0}",{"_8":229,"_35":230},178943,"\\ltr{1}",{"_8":232,"_35":233},178944,"\\ltr{\\dfrac{\\sqrt{2}}{2}}",{"_8":235,"_35":236},178945,"\\ltr{2}",[],"إذا علمت أن $\"\"/$ و $\"\"/$ فإن القيمة الدقيقة ل $\"\"/$ تساوي..",{"_8":240,"_33":34,"_35":241,"_12":242,"_10":243,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":244,"_80":257,"_82":27,"_117":27,"_118":-5,"_56":258},46111,"المتطابقة \\ltr{\\cos^4 \\theta - \\sin^4 \\theta} تكافئ المتطابقة ..","46111-%D8%A7%D9%84%D9%85%D8%AA%D8%B7%D8%A7%D8%A8%D9%82%D8%A9-%D8%AA%D9%83%D8%A7%D9%81%D8%A6-%D8%A7%D9%84%D9%85%D8%AA%D8%B7%D8%A7%D8%A8%D9%82%D8%A9","المتطابقة cos^4 θ- sin^4 θ تكافئ المتطابقة .. A)cos4θ B)sin4θ C)cos2θ D)sin2θ ",[245,248,251,254],{"_8":246,"_35":247},178938,"\\ltr{\\cos 4\\theta}",{"_8":249,"_35":250},178939,"\\ltr{\\sin 4\\theta}",{"_8":252,"_35":253},178940,"\\ltr{\\cos 2\\theta}",{"_8":255,"_35":256},178941,"\\ltr{\\sin 2\\theta}",[],"المتطابقة $\"\"/$ تكافئ المتطابقة ..",{"_8":260,"_33":34,"_35":261,"_12":262,"_10":263,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":264,"_80":275,"_82":27,"_117":27,"_118":-5,"_56":276},46110,"قيمة \\ltr{\\sin ~15^\\circ ~\\cos~ 45^\\circ - \\cos~ 15^\\circ~ \\sin~ 45^\\circ} تساوي ...","46110-%D9%82%D9%8A%D9%85%D8%A9-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7B2%7D%7D-%7D%7B2%7D%7D-%7D%7B2%7D%7D-%7B2","قيمة sin 15^∘ cos 45^∘- cos 15^∘ sin 45^∘ تساوي ... A)√(3)/2 B)-√(3)/2 C)1/2 D)-1/2 ",[265,267,270,272],{"_8":266,"_35":207},178934,{"_8":268,"_35":269},178935,"\\ltr{-\\frac{\\sqrt{3}}{2}}",{"_8":271,"_35":131},178936,{"_8":273,"_35":274},178937,"\\ltr{-\\frac{1}{2}}",[],"قيمة $\"\"/$ تساوي ...",{"_8":278,"_33":34,"_35":279,"_12":280,"_10":281,"_41":42,"_43":44,"_74":91,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":282,"_80":295,"_82":27,"_117":27,"_118":-5,"_56":296},46106,"القيمة الدقيقة لـ \\ltr{\\cos 75^\\circ} تساوي ..","46106-%D8%A7%D9%84%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D8%AF%D9%82%D9%8A%D9%82%D8%A9-%D9%84%D9%80-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%2B-%7D%7B4%7D%7D-%7D%7B2%7D%7D-%2B-%7D%7B8%7D%7D-%7D%7B4","القيمة الدقيقة لـ cos75^∘ تساوي .. A)√(6) - √(2)/4 B)√(6) + √(2)/4 C)√(6) - √(2)/2 D)√(6) + √(2)/8 ",[283,286,289,292],{"_8":284,"_35":285},178918,"\\ltr{\\frac{\\sqrt{6} - \\sqrt{2}}{4}}",{"_8":287,"_35":288},178919,"\\ltr{\\frac{\\sqrt{6} + \\sqrt{2}}{4}}",{"_8":290,"_35":291},178920,"\\ltr{\\frac{\\sqrt{6} - \\sqrt{2}}{2}}",{"_8":293,"_35":294},178921,"\\ltr{\\frac{\\sqrt{6} + \\sqrt{2}}{8}}",[],"القيمة الدقيقة لـ $\"\"/$ تساوي ..","detailedAnswer",[299,304,306,308],{"_8":59,"_35":60,"_300":27,"_301":302,"_303":-5},"is_correct","question_option_details",[],"has_access",{"_8":63,"_35":64,"_300":19,"_301":305,"_303":-5},[],{"_8":54,"_35":55,"_300":27,"_301":307,"_303":-5},[],{"_8":67,"_35":68,"_300":27,"_301":309,"_303":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

حل المعادلة و هو..

حل المعادلة $\ltr{\cos \theta = -\frac{\sqrt{3}}{2}}$ و $\ltr{0^\circ \leq \theta \leq 360^\circ}$ هو..