ko

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

인기 있는 삼각법 >

sin(x/2+pi)= 3/(2sqrt(3))

해법

sin (\frac{x}{2} + π) = \frac{3}{2 3}

해법

x = \frac{2 π}{3} + 4 πn - 2 π, x = \frac{4 π}{3} + 4 πn - 2 π

+1

라디안

x = \frac{2 π}{3} - 2 π + 4 πn, x = \frac{4 π}{3} - 2 π + 4 πn

솔루션 단계

sin (\frac{x}{2} + π) = \frac{3}{2 3}

\frac{3}{2 3}

간소화하다 :

\frac{3}{2}

\frac{3}{2 3}

급진적인 규칙 적용:

n a = a^{\frac{1}{n}}

3 = 3^{\frac{1}{2}}

= \frac{3}{2 \cdot 3 ^{\frac{1}{2}}}

지수 규칙 적용:

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

\frac{3 ^{1}}{3 ^{\frac{1}{2}}} = 3^{1 - \frac{1}{2}}

= \frac{3 ^{1 - \frac{1}{2}}}{2}

숫자를 빼세요:

1 - \frac{1}{2} = \frac{1}{2}

= \frac{3 ^{\frac{1}{2}}}{2}

급진적인 규칙 적용:

a^{\frac{1}{n}} = n a

3^{\frac{1}{2}} = 3

= \frac{3}{2}

일반 솔루션

sin (\frac{x}{2} + π) = \frac{3}{2}

sin (x)

주기율표

2 πn

주기:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

\frac{x}{2} + π = \frac{π}{3} + 2 πn, \frac{x}{2} + π = \frac{2 π}{3} + 2 πn

\frac{x}{2} + π = \frac{π}{3} + 2 πn, \frac{x}{2} + π = \frac{2 π}{3} + 2 πn

\frac{x}{2} + π = \frac{π}{3} + 2 πn

해결 :

x = \frac{2 π}{3} + 4 πn - 2 π

\frac{x}{2} + π = \frac{π}{3} + 2 πn

π

를 오른쪽으로 이동

\frac{x}{2} + π = \frac{π}{3} + 2 πn

빼다

π

양쪽에서

\frac{x}{2} + π - π = \frac{π}{3} + 2 πn - π

단순화

\frac{x}{2} = \frac{π}{3} + 2 πn - π

\frac{x}{2} = \frac{π}{3} + 2 πn - π

양쪽을 곱한 값

2

\frac{x}{2} = \frac{π}{3} + 2 πn - π

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{π}{3} + 2 \cdot 2 πn - 2 π

단순화

\frac{2 x}{2} = 2 \cdot \frac{π}{3} + 2 \cdot 2 πn - 2 π

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{π}{3} + 2 \cdot 2 πn - 2 π

간소화하다 :

\frac{2 π}{3} + 4 πn - 2 π

2 \cdot \frac{π}{3} + 2 \cdot 2 πn - 2 π

2 \cdot \frac{π}{3}

곱하다

: \frac{2 π}{3}

2 \cdot \frac{π}{3}

다중 분수:

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

= \frac{π 2}{3}

= \frac{2 π}{3} + 2 \cdot 2 πn - 2 π

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{2 π}{3} + 4 πn - 2 π

x = \frac{2 π}{3} + 4 πn - 2 π

x = \frac{2 π}{3} + 4 πn - 2 π

x = \frac{2 π}{3} + 4 πn - 2 π

\frac{x}{2} + π = \frac{2 π}{3} + 2 πn

해결 :

x = \frac{4 π}{3} + 4 πn - 2 π

\frac{x}{2} + π = \frac{2 π}{3} + 2 πn

π

를 오른쪽으로 이동

\frac{x}{2} + π = \frac{2 π}{3} + 2 πn

빼다

π

양쪽에서

\frac{x}{2} + π - π = \frac{2 π}{3} + 2 πn - π

단순화

\frac{x}{2} = \frac{2 π}{3} + 2 πn - π

\frac{x}{2} = \frac{2 π}{3} + 2 πn - π

양쪽을 곱한 값

2

\frac{x}{2} = \frac{2 π}{3} + 2 πn - π

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{2 π}{3} + 2 \cdot 2 πn - 2 π

단순화

\frac{2 x}{2} = 2 \cdot \frac{2 π}{3} + 2 \cdot 2 πn - 2 π

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{2 π}{3} + 2 \cdot 2 πn - 2 π

간소화하다 :

\frac{4 π}{3} + 4 πn - 2 π

2 \cdot \frac{2 π}{3} + 2 \cdot 2 πn - 2 π

2 \cdot \frac{2 π}{3} = \frac{4 π}{3}

2 \cdot \frac{2 π}{3}

다중 분수:

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

= \frac{2 π 2}{3}

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{4 π}{3}

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

숫자를 곱하시오:

2 \cdot 2 = 4

= 4 πn

= \frac{4 π}{3} + 4 πn - 2 π

x = \frac{4 π}{3} + 4 πn - 2 π

x = \frac{4 π}{3} + 4 πn - 2 π

x = \frac{4 π}{3} + 4 πn - 2 π

x = \frac{2 π}{3} + 4 πn - 2 π, x = \frac{4 π}{3} + 4 πn - 2 π

그래프

인기 있는 예

cos(b)=(cos(80))/(cos(50))

cos (b) = \frac{cos ( 8 0 ^{\circ} )}{cos ( 5 0 ^{\circ} )}

2sec^2(x)tan(x)-2sec^2(x)=0

2 sec^{2} (x) tan (x) - 2 sec^{2} (x) = 0

sin (x) = \frac{10}{18}

tan(2x)=2cos(x)

tan (2 x) = 2 cos (x)

3sec^2(θ)-2tan^2(θ)-4=0

3 sec^{2} (θ) - 2 tan^{2} (θ) - 4 = 0