해법
arcsin(900x2+1900x2−1)=1.18
해법
x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)
솔루션 단계
arcsin(900x2+1900x2−1)=1.18
트리거 역속성 적용
arcsin(900x2+1900x2−1)=1.18
arcsin(x)=a⇒x=sin(a)900x2+1900x2−1=sin(1.18)
sin(1.18)=sin(5059)
sin(1.18)
900x2+1900x2−1=sin(5059)
900x2+1900x2−1=sin(5059)
900x2+1900x2−1=sin(5059)해결 :x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)
900x2+1900x2−1=sin(5059)
양쪽을 곱한 값 900x2+1
900x2+1900x2−1=sin(5059)
양쪽을 곱한 값 900x2+1900x2+1900x2−1(900x2+1)=sin(5059)(900x2+1)
단순화900x2−1=sin(5059)(900x2+1)
900x2−1=sin(5059)(900x2+1)
900x2−1=sin(5059)(900x2+1)해결 :x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)
900x2−1=sin(5059)(900x2+1)
1를 오른쪽으로 이동
900x2−1=sin(5059)(900x2+1)
더하다 1 양쪽으로900x2−1+1=sin(5059)(900x2+1)+1
단순화900x2=sin(5059)(900x2+1)+1
900x2=sin(5059)(900x2+1)+1
sin(5059)(900x2+1)를 왼쪽으로 이동
900x2=sin(5059)(900x2+1)+1
빼다 sin(5059)(900x2+1) 양쪽에서900x2−sin(5059)(900x2+1)=sin(5059)(900x2+1)+1−sin(5059)(900x2+1)
단순화900x2−sin(5059)(900x2+1)=1
900x2−sin(5059)(900x2+1)=1
−sin(5059)(900x2+1)확대한다:−900sin(5059)x2−sin(5059)
−sin(5059)(900x2+1)
분배 법칙 적용: a(b+c)=ab+aca=−sin(5059),b=900x2,c=1=−sin(5059)⋅900x2+(−sin(5059))⋅1
마이너스 플러스 규칙 적용+(−a)=−a=−900sin(5059)x2−1⋅sin(5059)
곱하다: 1⋅sin(5059)=sin(5059)=−900sin(5059)x2−sin(5059)
900x2−900sin(5059)x2−sin(5059)=1
sin(5059)를 오른쪽으로 이동
900x2−900sin(5059)x2−sin(5059)=1
더하다 sin(5059) 양쪽으로900x2−900sin(5059)x2−sin(5059)+sin(5059)=1+sin(5059)
단순화900x2−900sin(5059)x2=1+sin(5059)
900x2−900sin(5059)x2=1+sin(5059)
900x2−900sin(5059)x2요인:900(1−sin(5059))x2
900x2−900sin(5059)x2
로 고쳐 쓰다=1⋅900x2−900x2sin(5059)
공통 용어를 추출하다 900x2=900x2(1−sin(5059))
900(1−sin(5059))x2=1+sin(5059)
양쪽을 다음으로 나눕니다 900(1−sin(5059))
900(1−sin(5059))x2=1+sin(5059)
양쪽을 다음으로 나눕니다 900(1−sin(5059))900(1−sin(5059))900(1−sin(5059))x2=900(1−sin(5059))1+900(1−sin(5059))sin(5059)
단순화
900(1−sin(5059))900(1−sin(5059))x2=900(1−sin(5059))1+900(1−sin(5059))sin(5059)
900(1−sin(5059))900(1−sin(5059))x2간소화하다 :x2
900(1−sin(5059))900(1−sin(5059))x2
숫자를 나눕니다: 900900=1=1−sin(5059)(−sin(5059)+1)x2
공통 요인 취소: 1−sin(5059)=x2
900(1−sin(5059))1+900(1−sin(5059))sin(5059)간소화하다 :900(1−sin(5059))1+sin(5059)
900(1−sin(5059))1+900(1−sin(5059))sin(5059)
분모가 같기 때문에, 분수를 합친다: ca±cb=ca±b=900(1−sin(5059))1+sin(5059)
x2=900(1−sin(5059))1+sin(5059)
x2=900(1−sin(5059))1+sin(5059)
x2=900(1−sin(5059))1+sin(5059)
위해서 x2=f(a) 해결책은 x=f(a),−f(a)
x=900(1−sin(5059))1+sin(5059),x=−900(1−sin(5059))1+sin(5059)
900(1−sin(5059))1+sin(5059)=301−sin(5059)1+sin(5059)
900(1−sin(5059))1+sin(5059)
급진적인 규칙 적용: nba=nbna, 라면 a≥0,b≥0=900(−sin(5059)+1)1+sin(5059)
급진적인 규칙 적용: nab=nanb, 라면 a≥0,b≥0900(−sin(5059)+1)=900−sin(5059)+1=900−sin(5059)+11+sin(5059)
900=30
900
인자 수: 900=302=302
급진적인 규칙 적용: nan=a302=30=30
=30−sin(5059)+11+sin(5059)
=301−sin(5059)1+sin(5059)
−900(1−sin(5059))1+sin(5059)=−301−sin(5059)1+sin(5059)
−900(1−sin(5059))1+sin(5059)
900(1−sin(5059))1+sin(5059)단순화하세요:30−sin(5059)+11+sin(5059)
900(1−sin(5059))1+sin(5059)
급진적인 규칙 적용: nba=nbna, 라면 a≥0,b≥0=900(−sin(5059)+1)1+sin(5059)
급진적인 규칙 적용: nab=nanb, 라면 a≥0,b≥0900(−sin(5059)+1)=900−sin(5059)+1=900−sin(5059)+11+sin(5059)
900=30
900
인자 수: 900=302=302
급진적인 규칙 적용: nan=a302=30=30
=30−sin(5059)+11+sin(5059)
=−30−sin(5059)+1sin(5059)+1
=−301−sin(5059)1+sin(5059)
x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)
x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)
x=301−sin(5059)1+sin(5059),x=−301−sin(5059)1+sin(5059)