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اكتشف الخطأ : يحاول اسامة و حسام  إثبات أن المعادلة الآتية متطابقة :     ( sinθ+cosθ ) 2 =1+sin MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@  
 
هل إجابة أي منهما صحيحة؟          
     أسامة    
( sinθ  cosθ ) 2 MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@                    
  sin 2 θ  2sinθcosθ  cos 2 θ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXjab=TcaRiGacogacaGGVbGaai4CamaaCaaaleqabaGaaGOmaaaakiabeI7aXbaa@4C83@   =               
sin 2 θ  -  cos 2 θ  2sinθcosθ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaci4yaiaac+gacaGGZbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXbaa@4C8A@   =               
sin2θ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaGymaiabgUcaRiaaikdaciGGZbGaaiyAaiaac6gaiiGacqWF4oqCciGGJbGaai4BaiaacohacqWF4oqCaaa@4166@   =               
      حسام    
( sinθ  cosθ ) 2 MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaciGGZbGaaiyAaiaac6gacqaH4oqCcqGHRaWkciGGJbGaai4BaiaacohacqaH4oqCaiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccqGH9aqpcaaIXaGaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaiabeI7aXjGacogacaGGVbGaai4CaiabeI7aXbaa@4EDF@                    
sin 2 θ+sinθcosθ+ cos 2 θ  MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXjab=TcaRiGacogacaGGVbGaai4CamaaCaaaleqabaGaaGOmaaaakiabeI7aXbaa@4C83@    =                   
sin 2 θ+ cos 2 θ+sinθcosθ  MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaci4CaiaacMgacaGGUbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaci4yaiaac+gacaGGZbWaaWbaaSqabeaacaaIYaaaaOGaeqiUdeNaey4kaSIaaGOmaiGacohacaGGPbGaaiOBaGGaciab=H7aXjGacogacaGGVbGaai4Caiab=H7aXbaa@4C8A@    =                   
  sin2θ MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaGymaiabgUcaRiaaikdaciGGZbGaaiyAaiaac6gaiiGacqWF4oqCciGGJbGaai4BaiaacohacqWF4oqCaaa@4166@    =                    

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