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인기 있는 >

4cos^2(x/2)-3=0

해법

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

해법

x = \frac{π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn, x = \frac{5 π}{3} + 4 πn, x = \frac{7 π}{3} + 4 πn

+1

도

x = 6 0^{\circ} + 72 0^{\circ} n, x = 66 0^{\circ} + 72 0^{\circ} n, x = 30 0^{\circ} + 72 0^{\circ} n, x = 42 0^{\circ} + 72 0^{\circ} n

솔루션 단계

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

대체로 해결

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

하게:

cos (\frac{x}{2}) = u

4 u^{2} - 3 = 0

4 u^{2} - 3 = 0 : u = \frac{3}{2}, u = - \frac{3}{2}

4 u^{2} - 3 = 0

3

를 오른쪽으로 이동

4 u^{2} - 3 = 0

더하다

3

양쪽으로

4 u^{2} - 3 + 3 = 0 + 3

단순화

4 u^{2} = 3

4 u^{2} = 3

양쪽을 다음으로 나눕니다

4

4 u^{2} = 3

양쪽을 다음으로 나눕니다

4

\frac{4 u ^{2}}{4} = \frac{3}{4}

단순화

u^{2} = \frac{3}{4}

u^{2} = \frac{3}{4}

위해서

x^{2} = f (a)

해결책은

x = f (a), - f (a)

u = \frac{3}{4}, u = - \frac{3}{4}

\frac{3}{4} = \frac{3}{2}

\frac{3}{4}

급진적인 규칙 적용:

라면

a \geq 0, b \geq 0

= \frac{3}{4}

4 = 2

4

인자 수:

4 = 2^{2}

= 2^{2}

급진적인 규칙 적용:

2^{2} = 2

= 2

= \frac{3}{2}

- \frac{3}{4} = - \frac{3}{2}

- \frac{3}{4}

\frac{3}{4}

단순화하세요:

\frac{3}{2}

\frac{3}{4}

급진적인 규칙 적용:

라면

a \geq 0, b \geq 0

= \frac{3}{4}

4 = 2

4

인자 수:

4 = 2^{2}

= 2^{2}

급진적인 규칙 적용:

2^{2} = 2

= 2

= \frac{3}{2}

= - \frac{3}{2}

u = \frac{3}{2}, u = - \frac{3}{2}

뒤로 대체

u = cos (\frac{x}{2})

cos (\frac{x}{2}) = \frac{3}{2}, cos (\frac{x}{2}) = - \frac{3}{2}

cos (\frac{x}{2}) = \frac{3}{2}, cos (\frac{x}{2}) = - \frac{3}{2}

cos (\frac{x}{2}) = \frac{3}{2} : x = \frac{π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn

cos (\frac{x}{2}) = \frac{3}{2}

일반 솔루션

cos (\frac{x}{2}) = \frac{3}{2}

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

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

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

\frac{x}{2} = \frac{π}{6} + 2 πn

해결 :

x = \frac{π}{3} + 4 πn

\frac{x}{2} = \frac{π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{x}{2} = \frac{π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{π}{6} + 2 \cdot 2 πn

단순화

\frac{2 x}{2} = 2 \cdot \frac{π}{6} + 2 \cdot 2 πn

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{π}{6} + 2 \cdot 2 πn

간소화하다 :

\frac{π}{3} + 4 πn

2 \cdot \frac{π}{6} + 2 \cdot 2 πn

2 \cdot \frac{π}{6} = \frac{π}{3}

2 \cdot \frac{π}{6}

다중 분수:

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

= \frac{π 2}{6}

공통 요인 취소:

2

= \frac{π}{3}

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

숫자를 곱하시오:

2 \cdot 2 = 4

= 4 πn

= \frac{π}{3} + 4 πn

x = \frac{π}{3} + 4 πn

x = \frac{π}{3} + 4 πn

x = \frac{π}{3} + 4 πn

\frac{x}{2} = \frac{11 π}{6} + 2 πn

해결 :

x = \frac{11 π}{3} + 4 πn

\frac{x}{2} = \frac{11 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{x}{2} = \frac{11 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{11 π}{6} + 2 \cdot 2 πn

단순화

\frac{2 x}{2} = 2 \cdot \frac{11 π}{6} + 2 \cdot 2 πn

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{11 π}{6} + 2 \cdot 2 πn

간소화하다 :

\frac{11 π}{3} + 4 πn

2 \cdot \frac{11 π}{6} + 2 \cdot 2 πn

2 \cdot \frac{11 π}{6} = \frac{11 π}{3}

2 \cdot \frac{11 π}{6}

다중 분수:

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

= \frac{11 π 2}{6}

숫자를 곱하시오:

11 \cdot 2 = 22

= \frac{22 π}{6}

공통 요인 취소:

2

= \frac{11 π}{3}

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

숫자를 곱하시오:

2 \cdot 2 = 4

= 4 πn

= \frac{11 π}{3} + 4 πn

x = \frac{11 π}{3} + 4 πn

x = \frac{11 π}{3} + 4 πn

x = \frac{11 π}{3} + 4 πn

x = \frac{π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn

cos (\frac{x}{2}) = - \frac{3}{2} : x = \frac{5 π}{3} + 4 πn, x = \frac{7 π}{3} + 4 πn

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

일반 솔루션

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

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

\frac{x}{2} = \frac{5 π}{6} + 2 πn, \frac{x}{2} = \frac{7 π}{6} + 2 πn

\frac{x}{2} = \frac{5 π}{6} + 2 πn, \frac{x}{2} = \frac{7 π}{6} + 2 πn

\frac{x}{2} = \frac{5 π}{6} + 2 πn

해결 :

x = \frac{5 π}{3} + 4 πn

\frac{x}{2} = \frac{5 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{x}{2} = \frac{5 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{5 π}{6} + 2 \cdot 2 πn

단순화

\frac{2 x}{2} = 2 \cdot \frac{5 π}{6} + 2 \cdot 2 πn

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{5 π}{6} + 2 \cdot 2 πn

간소화하다 :

\frac{5 π}{3} + 4 πn

2 \cdot \frac{5 π}{6} + 2 \cdot 2 πn

2 \cdot \frac{5 π}{6} = \frac{5 π}{3}

2 \cdot \frac{5 π}{6}

다중 분수:

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

= \frac{5 π 2}{6}

숫자를 곱하시오:

5 \cdot 2 = 10

= \frac{10 π}{6}

공통 요인 취소:

2

= \frac{5 π}{3}

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

숫자를 곱하시오:

2 \cdot 2 = 4

= 4 πn

= \frac{5 π}{3} + 4 πn

x = \frac{5 π}{3} + 4 πn

x = \frac{5 π}{3} + 4 πn

x = \frac{5 π}{3} + 4 πn

\frac{x}{2} = \frac{7 π}{6} + 2 πn

해결 :

x = \frac{7 π}{3} + 4 πn

\frac{x}{2} = \frac{7 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{x}{2} = \frac{7 π}{6} + 2 πn

양쪽을 곱한 값

2

\frac{2 x}{2} = 2 \cdot \frac{7 π}{6} + 2 \cdot 2 πn

단순화

\frac{2 x}{2} = 2 \cdot \frac{7 π}{6} + 2 \cdot 2 πn

\frac{2 x}{2}

간소화하다 :

x

\frac{2 x}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= x

2 \cdot \frac{7 π}{6} + 2 \cdot 2 πn

간소화하다 :

\frac{7 π}{3} + 4 πn

2 \cdot \frac{7 π}{6} + 2 \cdot 2 πn

2 \cdot \frac{7 π}{6} = \frac{7 π}{3}

2 \cdot \frac{7 π}{6}

다중 분수:

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

= \frac{7 π 2}{6}

숫자를 곱하시오:

7 \cdot 2 = 14

= \frac{14 π}{6}

공통 요인 취소:

2

= \frac{7 π}{3}

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

숫자를 곱하시오:

2 \cdot 2 = 4

= 4 πn

= \frac{7 π}{3} + 4 πn

x = \frac{7 π}{3} + 4 πn

x = \frac{7 π}{3} + 4 πn

x = \frac{7 π}{3} + 4 πn

x = \frac{5 π}{3} + 4 πn, x = \frac{7 π}{3} + 4 πn

모든 솔루션 결합

x = \frac{π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn, x = \frac{5 π}{3} + 4 πn, x = \frac{7 π}{3} + 4 πn

인기 있는 예

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