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인기 있는 삼각법 >

cos(180-x)=sin(-300)

해법

cos (18 0^{\circ} - x) = sin (- 30 0^{\circ})

해법

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}, x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

+1

라디안

x = π - \frac{π}{6} - 2 πn, x = π - \frac{11 π}{6} - 2 πn

솔루션 단계

cos (18 0^{\circ} - x) = sin (- 30 0^{\circ})

sin (- 30 0^{\circ}) = \frac{3}{2}

sin (- 30 0^{\circ})

다음 속성을 사용하십시오:

sin (- x) = - sin (x)

sin (- 30 0^{\circ}) = - sin (30 0^{\circ})

= - sin (30 0^{\circ})

삼각성을 사용하여 다시 쓰기:

sin (30 0^{\circ}) = - \frac{3}{2}

sin (30 0^{\circ})

삼각성을 사용하여 다시 쓰기:

sin (18 0^{\circ}) cos (12 0^{\circ}) + cos (18 0^{\circ}) sin (12 0^{\circ})

sin (30 0^{\circ})

쓰다

sin (30 0^{\circ})

로

sin (18 0^{\circ} + 12 0^{\circ})

= sin (18 0^{\circ} + 12 0^{\circ})

앵글섬식별사용:

sin (s + t) = sin (s) cos (t) + cos (s) sin (t)

= sin (18 0^{\circ}) cos (12 0^{\circ}) + cos (18 0^{\circ}) sin (12 0^{\circ})

= sin (18 0^{\circ}) cos (12 0^{\circ}) + cos (18 0^{\circ}) sin (12 0^{\circ})

다음과 같은 사소한 아이덴티티 사용:

sin (18 0^{\circ}) = 0

sin (18 0^{\circ})

sin (x)

주기율표

36 0^{\circ} n

주기:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

다음과 같은 사소한 아이덴티티 사용:

cos (12 0^{\circ}) = - \frac{1}{2}

cos (12 0^{\circ})

cos (x)

주기율표

36 0^{\circ} n

주기:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{1}{2}

다음과 같은 사소한 아이덴티티 사용:

cos (18 0^{\circ}) = (- 1)

cos (18 0^{\circ})

cos (x)

주기율표

36 0^{\circ} n

주기:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

다음과 같은 사소한 아이덴티티 사용:

sin (12 0^{\circ}) = \frac{3}{2}

sin (12 0^{\circ})

sin (x)

주기율표

36 0^{\circ} n

주기:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{3}{2}

= 0 \cdot (- \frac{1}{2}) + (- 1) \frac{3}{2}

단순화

= - \frac{3}{2}

= - (- \frac{3}{2})

단순화

= \frac{3}{2}

cos (18 0^{\circ} - x) = \frac{3}{2}

일반 솔루션

cos (18 0^{\circ} - x) = \frac{3}{2}

cos (x)

주기율표

36 0^{\circ} n

주기:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

18 0^{\circ} - x = 3 0^{\circ} + 36 0^{\circ} n, 18 0^{\circ} - x = 33 0^{\circ} + 36 0^{\circ} n

18 0^{\circ} - x = 3 0^{\circ} + 36 0^{\circ} n, 18 0^{\circ} - x = 33 0^{\circ} + 36 0^{\circ} n

18 0^{\circ} - x = 3 0^{\circ} + 36 0^{\circ} n

해결 :

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

18 0^{\circ} - x = 3 0^{\circ} + 36 0^{\circ} n

18 0^{\circ}

를 오른쪽으로 이동

18 0^{\circ} - x = 3 0^{\circ} + 36 0^{\circ} n

빼다

18 0^{\circ}

양쪽에서

18 0^{\circ} - x - 18 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

단순화

- x = 3 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

- x = 3 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

양쪽을 다음으로 나눕니다

- 1

- x = 3 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

양쪽을 다음으로 나눕니다

- 1

\frac{- x}{- 1} = \frac{3 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

단순화

\frac{- x}{- 1} = \frac{3 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

\frac{- x}{- 1}

간소화하다 :

x

\frac{- x}{- 1}

분수 규칙 적용:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

규칙 적용

\frac{a}{1} = a

= x

\frac{3 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

간소화하다 :

18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

\frac{3 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

집단적 용어

= - \frac{18 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} + \frac{3 0 ^{\circ}}{- 1}

\frac{18 0 ^{\circ}}{- 1} = - 18 0^{\circ}

\frac{18 0 ^{\circ}}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - 18 0^{\circ}

규칙 적용

\frac{a}{1} = a

= - 18 0^{\circ}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

규칙 적용

\frac{a}{1} = a

= - 36 0^{\circ} n

= - (- 18 0^{\circ}) - 36 0^{\circ} n + \frac{3 0 ^{\circ}}{- 1}

규칙 적용

- (- a) = a

= 18 0^{\circ} - 36 0^{\circ} n + \frac{3 0 ^{\circ}}{- 1}

\frac{3 0 ^{\circ}}{- 1} = - 3 0^{\circ}

\frac{3 0 ^{\circ}}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{3 0 ^{\circ}}{1}

분수 규칙 적용:

\frac{a}{1} = a

\frac{3 0 ^{\circ}}{1} = 3 0^{\circ}

= - 3 0^{\circ}

= 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}

18 0^{\circ} - x = 33 0^{\circ} + 36 0^{\circ} n

해결 :

x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

18 0^{\circ} - x = 33 0^{\circ} + 36 0^{\circ} n

18 0^{\circ}

를 오른쪽으로 이동

18 0^{\circ} - x = 33 0^{\circ} + 36 0^{\circ} n

빼다

18 0^{\circ}

양쪽에서

18 0^{\circ} - x - 18 0^{\circ} = 33 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

단순화

- x = 33 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

- x = 33 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

양쪽을 다음으로 나눕니다

- 1

- x = 33 0^{\circ} + 36 0^{\circ} n - 18 0^{\circ}

양쪽을 다음으로 나눕니다

- 1

\frac{- x}{- 1} = \frac{33 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

단순화

\frac{- x}{- 1} = \frac{33 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

\frac{- x}{- 1}

간소화하다 :

x

\frac{- x}{- 1}

분수 규칙 적용:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

규칙 적용

\frac{a}{1} = a

= x

\frac{33 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

간소화하다 :

18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

\frac{33 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{18 0 ^{\circ}}{- 1}

집단적 용어

= - \frac{18 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} + \frac{33 0 ^{\circ}}{- 1}

\frac{18 0 ^{\circ}}{- 1} = - 18 0^{\circ}

\frac{18 0 ^{\circ}}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - 18 0^{\circ}

규칙 적용

\frac{a}{1} = a

= - 18 0^{\circ}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

규칙 적용

\frac{a}{1} = a

= - 36 0^{\circ} n

= - (- 18 0^{\circ}) - 36 0^{\circ} n + \frac{33 0 ^{\circ}}{- 1}

규칙 적용

- (- a) = a

= 18 0^{\circ} - 36 0^{\circ} n + \frac{33 0 ^{\circ}}{- 1}

\frac{33 0 ^{\circ}}{- 1} = - 33 0^{\circ}

\frac{33 0 ^{\circ}}{- 1}

분수 규칙 적용:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{33 0 ^{\circ}}{1}

분수 규칙 적용:

\frac{a}{1} = a

\frac{33 0 ^{\circ}}{1} = 33 0^{\circ}

= - 33 0^{\circ}

= 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

x = 18 0^{\circ} - 36 0^{\circ} n - 3 0^{\circ}, x = 18 0^{\circ} - 36 0^{\circ} n - 33 0^{\circ}

그래프

인기 있는 예

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