ko

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

인기 있는 삼각법 >

sin(2x)=cos(60)

해법

sin (2 x) = cos (6 0^{\circ})

해법

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

+1

라디안

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

솔루션 단계

sin (2 x) = cos (6 0^{\circ})

cos (6 0^{\circ}) = \frac{1}{2}

cos (6 0^{\circ})

다음과 같은 사소한 아이덴티티 사용:

cos (6 0^{\circ}) = \frac{1}{2}

cos (6 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}

= \frac{1}{2}

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

일반 솔루션

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

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}

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

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

해결 :

x = 1 5^{\circ} + 18 0^{\circ} n

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

양쪽을 다음으로 나눕니다

2

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

양쪽을 다음으로 나눕니다

2

\frac{2 x}{2} = \frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 x}{2} = \frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

\frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

1 5^{\circ} + 18 0^{\circ} n

\frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{3 0 ^{\circ}}{2} = 1 5^{\circ}

\frac{3 0 ^{\circ}}{2}

분수 규칙 적용:

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

= \frac{18 0 ^{\circ}}{6 \cdot 2}

숫자를 곱하시오:

6 \cdot 2 = 12

= 1 5^{\circ}

\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

= 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

2 x = 15 0^{\circ} + 36 0^{\circ} n

해결 :

x = 7 5^{\circ} + 18 0^{\circ} n

2 x = 15 0^{\circ} + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

2 x = 15 0^{\circ} + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

\frac{2 x}{2} = \frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 x}{2} = \frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

\frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

7 5^{\circ} + 18 0^{\circ} n

\frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{15 0 ^{\circ}}{2} = 7 5^{\circ}

\frac{15 0 ^{\circ}}{2}

분수 규칙 적용:

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

= \frac{90 0 ^{\circ}}{6 \cdot 2}

숫자를 곱하시오:

6 \cdot 2 = 12

= 7 5^{\circ}

\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

= 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

그래프

인기 있는 예

tan(x)= 1/(-sqrt(3))

3sin(x)+2=sin(x)

(2cos(x)+1)(2sin(x)-sqrt(3))=0