해법
5.63=11cos(T2π0.137)
해법
T=1.03349…+6.28318…n0.86079…,T=6.28318…n+5.24968…0.86079…
+1
도
T=0∘+6.74076…∘n,T=0∘+4.27647…∘n솔루션 단계
5.63=11cos(T2π⋅0.137)
측면 전환11cos(T2π⋅0.137)=5.63
양쪽을 다음으로 나눕니다 11
11cos(T2π0.137)=5.63
양쪽을 다음으로 나눕니다 111111cos(T2π0.137)=115.63
단순화cos(T2π0.137)=0.51181…
cos(T2π0.137)=0.51181…
트리거 역속성 적용
cos(T2π⋅0.137)=0.51181…
일반 솔루션 cos(T2π0.137)=0.51181…cos(x)=a⇒x=arccos(a)+2πn,x=2π−arccos(a)+2πnT2π⋅0.137=arccos(0.51181…)+2πn,T2π⋅0.137=2π−arccos(0.51181…)+2πn
T2π⋅0.137=arccos(0.51181…)+2πn,T2π⋅0.137=2π−arccos(0.51181…)+2πn
T2π⋅0.137=arccos(0.51181…)+2πn해결 :T=1.03349…+6.28318…n0.86079…;n=−2πarccos(0.51181…)
T2π⋅0.137=arccos(0.51181…)+2πn
T2π⋅0.137간소화하다 :T0.274π
T2π⋅0.137
다중 분수: a⋅cb=ca⋅b=T2π0.137
숫자를 곱하시오: 2⋅0.137=0.274=T0.274π
T0.274π=arccos(0.51181…)+2πn
양쪽을 곱한 값 T
T0.274π=arccos(0.51181…)+2πn
양쪽을 곱한 값 TT0.274πT=arccos(0.51181…)T+2πnT
단순화0.274π=arccos(0.51181…)T+2πnT
0.274π=arccos(0.51181…)T+2πnT
측면 전환arccos(0.51181…)T+2πnT=0.274π
arccos(0.51181…)T+2πnT요인:T(arccos(0.51181…)+2πn)
arccos(0.51181…)T+2πnT
공통 용어를 추출하다 T=T(arccos(0.51181…)+2πn)
T(arccos(0.51181…)+2πn)=0.274π
양쪽을 다음으로 나눕니다 arccos(0.51181…)+2πn;n=−2πarccos(0.51181…)
T(arccos(0.51181…)+2πn)=0.274π
양쪽을 다음으로 나눕니다 arccos(0.51181…)+2πn;n=−2πarccos(0.51181…)arccos(0.51181…)+2πnT(arccos(0.51181…)+2πn)=arccos(0.51181…)+2πn0.274π;n=−2πarccos(0.51181…)
단순화
arccos(0.51181…)+2πnT(arccos(0.51181…)+2πn)=arccos(0.51181…)+2πn0.274π
arccos(0.51181…)+2πnT(arccos(0.51181…)+2πn)간소화하다 :T
arccos(0.51181…)+2πnT(arccos(0.51181…)+2πn)
공통 요인 취소: arccos(0.51181…)+2πn=T
arccos(0.51181…)+2πn0.274π간소화하다 :1.03349…+6.28318…n0.86079…
arccos(0.51181…)+2πn0.274π
arccos(0.51181…)=1.03349…=1.03349…+2πn0.274π
다듬다=1.03349…+6.28318…n0.86079…
T=1.03349…+6.28318…n0.86079…;n=−2πarccos(0.51181…)
T=1.03349…+6.28318…n0.86079…;n=−2πarccos(0.51181…)
T=1.03349…+6.28318…n0.86079…;n=−2πarccos(0.51181…)
T2π⋅0.137=2π−arccos(0.51181…)+2πn해결 :T=6.28318…n+5.24968…0.86079…;n=2π−2π+arccos(0.51181…)
T2π⋅0.137=2π−arccos(0.51181…)+2πn
T2π⋅0.137간소화하다 :T0.274π
T2π⋅0.137
다중 분수: a⋅cb=ca⋅b=T2π0.137
숫자를 곱하시오: 2⋅0.137=0.274=T0.274π
T0.274π=2π−arccos(0.51181…)+2πn
양쪽을 곱한 값 T
T0.274π=2π−arccos(0.51181…)+2πn
양쪽을 곱한 값 TT0.274πT=2πT−arccos(0.51181…)T+2πnT
단순화0.274π=2πT−arccos(0.51181…)T+2πnT
0.274π=2πT−arccos(0.51181…)T+2πnT
측면 전환2πT−arccos(0.51181…)T+2πnT=0.274π
2πT−arccos(0.51181…)T+2πnT요인:T(2π−arccos(0.51181…)+2πn)
2πT−arccos(0.51181…)T+2πnT
공통 용어를 추출하다 T=T(2π−arccos(0.51181…)+2πn)
T(2π−arccos(0.51181…)+2πn)=0.274π
양쪽을 다음으로 나눕니다 2π−arccos(0.51181…)+2πn;n=2π−2π+arccos(0.51181…)
T(2π−arccos(0.51181…)+2πn)=0.274π
양쪽을 다음으로 나눕니다 2π−arccos(0.51181…)+2πn;n=2π−2π+arccos(0.51181…)2π−arccos(0.51181…)+2πnT(2π−arccos(0.51181…)+2πn)=2π−arccos(0.51181…)+2πn0.274π;n=2π−2π+arccos(0.51181…)
단순화
2π−arccos(0.51181…)+2πnT(2π−arccos(0.51181…)+2πn)=2π−arccos(0.51181…)+2πn0.274π
2π−arccos(0.51181…)+2πnT(2π−arccos(0.51181…)+2πn)간소화하다 :T
2π−arccos(0.51181…)+2πnT(2π−arccos(0.51181…)+2πn)
공통 요인 취소: 2π−arccos(0.51181…)+2πn=T
2π−arccos(0.51181…)+2πn0.274π간소화하다 :6.28318…n+5.24968…0.86079…
2π−arccos(0.51181…)+2πn0.274π
arccos(0.51181…)=1.03349…=2π−1.03349…+2πn0.274π
숫자를 곱하시오: 0.274⋅3.14159…=0.86079…=2π−1.03349…+2πn0.86079…
단순화
2π−1.03349…+2πn0.86079…
숫자를 곱하시오: 2⋅3.14159…=6.28318…=6.28318…−1.03349…+2πn0.86079…
숫자를 곱하시오: 2⋅3.14159…=6.28318…=6.28318…−1.03349…+6.28318…n0.86079…
숫자를 빼세요: 6.28318…−1.03349…=5.24968…=6.28318…n+5.24968…0.86079…
=6.28318…n+5.24968…0.86079…
T=6.28318…n+5.24968…0.86079…;n=2π−2π+arccos(0.51181…)
T=6.28318…n+5.24968…0.86079…;n=2π−2π+arccos(0.51181…)
T=6.28318…n+5.24968…0.86079…;n=2π−2π+arccos(0.51181…)
T=1.03349…+6.28318…n0.86079…,T=6.28318…n+5.24968…0.86079…