ko

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

인기 있는 삼각법 >

sin(10)=2sin(a)cos(a)

해법

sin (1 0^{\circ}) = 2 sin (a) cos (a)

해법

a = 5^{\circ} + 18 0^{\circ} n, a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

+1

라디안

a = \frac{π}{36} + πn, a = \frac{π}{2} - \frac{π}{36} + πn

솔루션 단계

sin (1 0^{\circ}) = 2 sin (a) cos (a)

빼다

2 sin (a) cos (a)

양쪽에서

sin (1 0^{\circ}) - 2 sin (a) cos (a) = 0

삼각성을 사용하여 다시 쓰기

sin (1 0^{\circ}) - 2 sin (a) cos (a)

더블 앵글 아이덴티티 사용:

2 sin (x) cos (x) = sin (2 x)

= sin (1 0^{\circ}) - sin (2 a)

sin (1 0^{\circ}) - sin (2 a) = 0

sin (1 0^{\circ})

를 오른쪽으로 이동

sin (1 0^{\circ}) - sin (2 a) = 0

빼다

sin (1 0^{\circ})

양쪽에서

sin (1 0^{\circ}) - sin (2 a) - sin (1 0^{\circ}) = 0 - sin (1 0^{\circ})

단순화

- sin (2 a) = - sin (1 0^{\circ})

- sin (2 a) = - sin (1 0^{\circ})

양쪽을 다음으로 나눕니다

- 1

- sin (2 a) = - sin (1 0^{\circ})

양쪽을 다음으로 나눕니다

- 1

\frac{- sin ( 2 a )}{- 1} = \frac{- sin ( 1 0 ^{\circ} )}{- 1}

단순화

\frac{- sin ( 2 a )}{- 1} = \frac{- sin ( 1 0 ^{\circ} )}{- 1}

\frac{- sin ( 2 a )}{- 1}

간소화하다 :

sin (2 a)

\frac{- sin ( 2 a )}{- 1}

분수 규칙 적용:

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

= \frac{sin ( 2 a )}{1}

규칙 적용

\frac{a}{1} = a

= sin (2 a)

\frac{- sin ( 1 0 ^{\circ} )}{- 1}

간소화하다 :

sin (1 0^{\circ})

\frac{- sin ( 1 0 ^{\circ} )}{- 1}

분수 규칙 적용:

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

= \frac{sin ( 1 0 ^{\circ} )}{1}

분수 규칙 적용:

\frac{a}{1} = a

= sin (1 0^{\circ})

sin (2 a) = sin (1 0^{\circ})

sin (2 a) = sin (1 0^{\circ})

sin (2 a) = sin (1 0^{\circ})

트리거 역속성 적용

sin (2 a) = sin (1 0^{\circ})

일반 솔루션

sin (2 a) = sin (1 0^{\circ})

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

2 a = arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n, 2 a = 18 0^{\circ} - arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

2 a = arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n, 2 a = 18 0^{\circ} - arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

2 a = arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

해결 :

a = 5^{\circ} + 18 0^{\circ} n

2 a = arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

2 a = arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

\frac{2 a}{2} = \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 a}{2} = \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 a}{2}

간소화하다 :

a

\frac{2 a}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= a

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

5^{\circ} + 18 0^{\circ} n

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} = 5^{\circ}

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2}

arcsin (sin (1 0^{\circ})) = 1 0^{\circ}

arcsin (sin (1 0^{\circ}))

- 9 0^{\circ} \leq a \leq 9 0^{\circ}

위한

, a rcs in (s in (x)) = x

- 9 0^{\circ} \leq 1 0^{\circ} \leq 9 0^{\circ}

= 1 0^{\circ}

= \frac{1 0 ^{\circ}}{2}

분수 규칙 적용:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{18 0 ^{\circ}}{18 \cdot 2}

숫자를 곱하시오:

18 \cdot 2 = 36

= 5^{\circ}

= 5^{\circ} + \frac{36 0 ^{\circ} n}{2}

\frac{36 0 ^{\circ} n}{2} = 18 0^{\circ} n

\frac{36 0 ^{\circ} n}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= 18 0^{\circ} n

= 5^{\circ} + 18 0^{\circ} n

a = 5^{\circ} + 18 0^{\circ} n

a = 5^{\circ} + 18 0^{\circ} n

a = 5^{\circ} + 18 0^{\circ} n

2 a = 18 0^{\circ} - arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

해결 :

a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

2 a = 18 0^{\circ} - arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

2 a = 18 0^{\circ} - arcsin (sin (1 0^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

\frac{2 a}{2} = 9 0^{\circ} - \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 a}{2} = 9 0^{\circ} - \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 a}{2}

간소화하다 :

a

\frac{2 a}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= a

9 0^{\circ} - \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

9 0^{\circ} - \frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2} = 5^{\circ}

\frac{arcsin ( sin ( 1 0 ^{\circ} ) )}{2}

arcsin (sin (1 0^{\circ})) = 1 0^{\circ}

arcsin (sin (1 0^{\circ}))

- 9 0^{\circ} \leq a \leq 9 0^{\circ}

위한

, a rcs in (s in (x)) = x

- 9 0^{\circ} \leq 1 0^{\circ} \leq 9 0^{\circ}

= 1 0^{\circ}

= \frac{1 0 ^{\circ}}{2}

분수 규칙 적용:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{18 0 ^{\circ}}{18 \cdot 2}

숫자를 곱하시오:

18 \cdot 2 = 36

= 5^{\circ}

= 9 0^{\circ} - 5^{\circ} + \frac{36 0 ^{\circ} n}{2}

\frac{36 0 ^{\circ} n}{2} = 18 0^{\circ} n

\frac{36 0 ^{\circ} n}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= 18 0^{\circ} n

= 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

a = 5^{\circ} + 18 0^{\circ} n, a = 9 0^{\circ} - 5^{\circ} + 18 0^{\circ} n

그래프

인기 있는 예

cos^2(x)=2+2sin(x),0<= x<= 2pi

1-sec^2(x)=tan^2(x)

csc^2(x)=(1/(cos(x)))^2

-2cos^2(x)+3cos(x)=1