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يوجد سباق مفتوح, هل تريد الانضمام ؟
الصف الثالث ثانوي
المتطابقات والمعادلات المثلثية
المتطابقات المثلثية لضعف الزاوية و نصفها
لم تقم بتسجيل الدخول, بعض الخصائص غير مفعلة.
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المبتدئ
المتوسط
المتقدم
نتيجتك:
0
زمن الاجابة:
0
0
ترتيبي الأسبوعي
0
اكتشف الخطأ
: يحاول اسامة و حسام إثبات أن المعادلة الآتية متطابقة :
(
sin
θ
+
cos
θ
)
2
=
1
+
sin
2θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@
هل إجابة أي منهما صحيحة؟
أسامة
(
sin
θ
-
cos
θ
)
2
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@
sin
2
θ
-
2
sin
θ
cos
θ
-
cos
2
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXjab=TcaRiGacogacaGGVbGaai4CamaaCaaaleqabaGaaGOmaaaakiabeI7aXbaa@4C83@
=
sin
2
θ
-
cos
2
θ
-
2
sin
θ
cos
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaci4yaiaac+gacaGGZbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXbaa@4C8A@
=
1
-
sin2
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaGymaiabgUcaRiaaikdaciGGZbGaaiyAaiaac6gaiiGacqWF4oqCciGGJbGaai4BaiaacohacqWF4oqCaaa@4166@
=
حسام
(
sin
θ
-
cos
θ
)
2
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@
sin
2
θ
+
sin
θ
cos
θ
+
cos
2
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXjab=TcaRiGacogacaGGVbGaai4CamaaCaaaleqabaGaaGOmaaaakiabeI7aXbaa@4C83@
=
sin
2
θ
+
cos
2
θ
+
sin
θ
cos
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaci4yaiaac+gacaGGZbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXbaa@4C8A@
=
1
-
sin2
θ
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaGymaiabgUcaRiaaikdaciGGZbGaaiyAaiaac6gaiiGacqWF4oqCciGGJbGaai4BaiaacohacqWF4oqCaaa@4166@
=
حسام إجابته صحيحة
أسامة إجابته صحيحة
كلاهما إجابته صحيحة
كلاهما أخطأ في الإجابة
0