[{"_1":2,"_318":-5,"_319":-5},"loaderData",{"_3":4,"_28":29,"_317":-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,"_99":100,"_298":299,"_311":312,"_313":27,"_314":32,"_315":316},"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,"_70":71,"_76":77,"_81":82,"_83":27,"_84":-5,"_85":86,"_87":88,"_89":90,"_91":92,"_93":19,"_56":94,"_95":96,"_97":98},46127,"type","MULTIPLE_CHOICE","text","حل المعادلة \\ltr{\\sin{\\theta} = \\frac{1}{2}} و \\ltr{0^\\circ \\leq \\theta \\leq 360^\\circ} هو ..","حل المعادلة sinθ = 1/2 و 0^∘≤θ≤360^∘ هو .. A)60^∘ B)45^∘ أو 120^∘ C)60^∘ أو 120^∘ D)30^∘ أو 150^∘ ","46127-حل-المعادلة-=-{2}}-و-هو-أو-أو-أو","order",45,"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},179002,"\\ltr{60^\\circ}","renderedText"," $\"\"/$ ",{"_8":59,"_35":60,"_56":61},179003,"\\ltr{45^\\circ} أو \\ltr{120^\\circ}"," $\"\"/$ أو $\"\"/$ ",{"_8":63,"_35":64,"_56":65},179004,"\\ltr{60^\\circ} أو \\ltr{120^\\circ}"," $\"\"/$ أو $\"\"/$ ",{"_8":67,"_35":68,"_56":69},179005,"\\ltr{30^\\circ} أو \\ltr{150^\\circ}"," $\"\"/$ أو $\"\"/$ ","previous_question",{"_8":72,"_33":34,"_35":73,"_12":74,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_75":-5,"_43":-5,"_50":-5},46121,"إذا كان \\ltr{\\sin^{-1}(\\cos{x}) = \\frac{\\pi}{6}} فما قيمة \\ltr{x} ؟","46121-إذا-كان-()-=-{6}}-فما-قيمة-}{3}}-{3}}-{6}}-{2","section_id","next_question",{"_8":78,"_33":34,"_35":79,"_12":80,"_10":-5,"_45":46,"_47":46,"_48":-5,"_49":-5,"_41":-5,"_75":-5,"_43":-5,"_50":-5},46129,"حل المعادلة \\ltr{\\cos \\theta = -\\frac{\\sqrt{3}}{2}} و \\ltr{0^\\circ \\leq \\theta \\leq 360^\\circ} هو..","46129-حل-المعادلة-}{2}}-و-هو-أو-أو-لا-يوجد-لها-حل","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","46121-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-()-%3D-%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","encodedNextQuestionSlug","46129-%D8%AD%D9%84-%D8%A7%D9%84%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-%7D%7B2%7D%7D-%D9%88-%D9%87%D9%88-%D8%A3%D9%88-%D8%A3%D9%88-%D9%84%D8%A7-%D9%8A%D9%88%D8%AC%D8%AF-%D9%84%D9%87%D8%A7-%D8%AD%D9%84","relatedQuestions",[101,121,141,161,180,200,220,240,258,278],{"_8":72,"_33":34,"_35":73,"_12":102,"_10":103,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":104,"_81":117,"_83":27,"_118":27,"_119":-5,"_56":120},"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 ",[105,108,111,114],{"_8":106,"_35":107},178978,"\\ltr{\\frac{\\pi}{6}}",{"_8":109,"_35":110},178979,"\\ltr{\\frac{1}{2}}",{"_8":112,"_35":113},178980,"\\ltr{\\frac{\\pi}{3}}",{"_8":115,"_35":116},178981,"\\ltr{\\frac{\\sqrt{3}}{3}}",[],"is_all_explanations_deleted","contents_tags_ids","إذا كان $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":122,"_33":34,"_35":123,"_12":124,"_10":125,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":126,"_81":139,"_83":27,"_118":27,"_119":-5,"_56":140},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^∘ ",[127,130,133,136],{"_8":128,"_35":129},178970,"\\ltr{72^\\circ}",{"_8":131,"_35":132},178971,"\\ltr{18^\\circ}",{"_8":134,"_35":135},178972,"\\ltr{38^\\circ}",{"_8":137,"_35":138},178973,"\\ltr{108^\\circ}",[],"قيمة $\"\"/$ تساوي ..",{"_8":142,"_33":34,"_35":143,"_12":144,"_10":145,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":146,"_81":159,"_83":27,"_118":27,"_119":-5,"_56":160},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^∘ ",[147,150,153,156],{"_8":148,"_35":149},178963,"\\ltr{-45^\\circ}",{"_8":151,"_35":152},178965,"\\ltr{45^\\circ}",{"_8":154,"_35":155},178968,"\\ltr{90^\\circ}",{"_8":157,"_35":158},178969,"\\ltr{180^\\circ}",[],"قياس الزاوية $\"\"/$ يساوي ..",{"_8":162,"_33":34,"_35":163,"_12":164,"_10":165,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":166,"_81":178,"_83":27,"_118":27,"_119":-5,"_56":179},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) ",[167,170,173,175],{"_8":168,"_35":169},178954,"\\ltr{\\sqrt{7 - 4\\sqrt{3}}}",{"_8":171,"_35":172},178955,"\\ltr{\\sqrt{3} - 2}",{"_8":174,"_35":116},178956,{"_8":176,"_35":177},178957,"\\ltr{\\sqrt{3}}",[],"إذا علمنا أن $\"\"/$ و $\"\"/$ فإن قيمة $\"\"/$ تساوي ...",{"_8":181,"_33":34,"_35":182,"_12":183,"_10":184,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":185,"_81":198,"_83":27,"_118":27,"_119":-5,"_56":199},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 ",[186,189,192,195],{"_8":187,"_35":188},178946,"\\ltr{\\frac{\\sqrt{3}}{2}}",{"_8":190,"_35":191},178947,"\\ltr{\\frac{\\sqrt{2}}{2}}",{"_8":193,"_35":194},178948,"\\ltr{\\frac{\\sqrt{3}}{4}}",{"_8":196,"_35":197},178949,"\\ltr{\\frac{3}{4}}",[],"إذا علمنا أن $\"\"/$ و $\"\"/$ ، فإن قيمة $\"\"/$ تساوي ...",{"_8":201,"_33":34,"_35":202,"_12":203,"_10":204,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":205,"_81":218,"_83":27,"_118":27,"_119":-5,"_56":219},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 ",[206,209,212,215],{"_8":207,"_35":208},178942,"\\ltr{0}",{"_8":210,"_35":211},178943,"\\ltr{1}",{"_8":213,"_35":214},178944,"\\ltr{\\dfrac{\\sqrt{2}}{2}}",{"_8":216,"_35":217},178945,"\\ltr{2}",[],"إذا علمت أن $\"\"/$ و $\"\"/$ فإن القيمة الدقيقة ل $\"\"/$ تساوي..",{"_8":221,"_33":34,"_35":222,"_12":223,"_10":224,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":27,"_50":-5,"_51":225,"_81":238,"_83":27,"_118":27,"_119":-5,"_56":239},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 ",[226,229,232,235],{"_8":227,"_35":228},178938,"\\ltr{\\cos 4\\theta}",{"_8":230,"_35":231},178939,"\\ltr{\\sin 4\\theta}",{"_8":233,"_35":234},178940,"\\ltr{\\cos 2\\theta}",{"_8":236,"_35":237},178941,"\\ltr{\\sin 2\\theta}",[],"المتطابقة $\"\"/$ تكافئ المتطابقة ..",{"_8":241,"_33":34,"_35":242,"_12":243,"_10":244,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":245,"_81":256,"_83":27,"_118":27,"_119":-5,"_56":257},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 ",[246,248,251,253],{"_8":247,"_35":188},178934,{"_8":249,"_35":250},178935,"\\ltr{-\\frac{\\sqrt{3}}{2}}",{"_8":252,"_35":110},178936,{"_8":254,"_35":255},178937,"\\ltr{-\\frac{1}{2}}",[],"قيمة $\"\"/$ تساوي ...",{"_8":259,"_33":34,"_35":260,"_12":261,"_10":262,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":263,"_81":276,"_83":27,"_118":27,"_119":-5,"_56":277},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 ",[264,267,270,273],{"_8":265,"_35":266},178918,"\\ltr{\\frac{\\sqrt{6} - \\sqrt{2}}{4}}",{"_8":268,"_35":269},178919,"\\ltr{\\frac{\\sqrt{6} + \\sqrt{2}}{4}}",{"_8":271,"_35":272},178920,"\\ltr{\\frac{\\sqrt{6} - \\sqrt{2}}{2}}",{"_8":274,"_35":275},178921,"\\ltr{\\frac{\\sqrt{6} + \\sqrt{2}}{8}}",[],"القيمة الدقيقة لـ $\"\"/$ تساوي ..",{"_8":279,"_33":34,"_35":280,"_12":281,"_10":282,"_41":42,"_43":44,"_75":92,"_45":46,"_47":46,"_48":27,"_49":19,"_50":-5,"_51":283,"_81":296,"_83":27,"_118":27,"_119":-5,"_56":297},46104,"القيمة الدقيقة لـ \\ltr{\\sin 15^\\circ} تساوي ..","46104-%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-%7D%7B4%7D%7D-%2B%7D%7B4%7D%7D-%2B%7D%7B8%7D%7D-%7D%7B2","القيمة الدقيقة لـ sin15^∘ تساوي .. A)√(6)-√(2)/4 B)√(6)+√(2)/4 C)√(6)-√(2)/2 D)√(6)+√(2)/8 ",[284,287,290,293],{"_8":285,"_35":286},178910,"\\ltr{\\frac{\\sqrt{6}-\\sqrt{2}}{4}}",{"_8":288,"_35":289},178911,"\\ltr{\\frac{\\sqrt{6}+\\sqrt{2}}{4}}",{"_8":291,"_35":292},178912,"\\ltr{\\frac{\\sqrt{6}-\\sqrt{2}}{2}}",{"_8":294,"_35":295},178913,"\\ltr{\\frac{\\sqrt{6}+\\sqrt{2}}{8}}",[],"القيمة الدقيقة لـ $\"\"/$ تساوي ..","detailedAnswer",[300,305,307,309],{"_8":67,"_35":68,"_301":19,"_302":303,"_304":-5},"is_correct","question_option_details",[],"has_access",{"_8":63,"_35":64,"_301":27,"_302":306,"_304":-5},[],{"_8":54,"_35":55,"_301":27,"_302":308,"_304":-5},[],{"_8":59,"_35":60,"_301":27,"_302":310,"_304":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

حل المعادلة و هو ..

حل المعادلة $\ltr{\sin{\theta} = \frac{1}{2}}$ و $\ltr{0^\circ \leq \theta \leq 360^\circ}$ هو ..