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인기 있는 삼각법 >

cos(x^2)=0

해법

cos (x^{2}) = 0

해법

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

+1

도

x = 0^{\circ} + 160.57117 \dots^{\circ} n, x = 0^{\circ} - 160.57117 \dots^{\circ} n, x = 0^{\circ} + 189.99037 \dots^{\circ} n, x = 0^{\circ} - 189.99037 \dots^{\circ} n

솔루션 단계

cos (x^{2}) = 0

일반 솔루션

cos (x^{2}) = 0

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}

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

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

x^{2} = \frac{π}{2} + 2 πn

해결 :

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

x^{2} = \frac{π}{2} + 2 πn

위해서

x^{2} = f (a)

해결책은

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

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

\frac{π}{2} + 2 πn

단순화하세요:

\frac{π + 4 πn}{2}

\frac{π}{2} + 2 πn

\frac{π}{2} + 2 πn

합류하다:

\frac{π + 4 πn}{2}

\frac{π}{2} + 2 πn

요소를 분수로 변환:

2 πn = \frac{2 πn 2}{2}

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

분모가 같기 때문에, 분수를 합친다:

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

= \frac{π + 2 πn \cdot 2}{2}

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{π + 4 πn}{2}

= \frac{π + 4 πn}{2}

- \frac{π}{2} + 2 πn

단순화하세요:

- \frac{π + 4 πn}{2}

- \frac{π}{2} + 2 πn

\frac{π}{2} + 2 πn

합류하다:

\frac{π + 4 πn}{2}

\frac{π}{2} + 2 πn

요소를 분수로 변환:

2 πn = \frac{2 πn 2}{2}

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

분모가 같기 때문에, 분수를 합친다:

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

= \frac{π + 2 πn \cdot 2}{2}

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{π + 4 πn}{2}

= - \frac{π + 4 πn}{2}

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

x^{2} = \frac{3 π}{2} + 2 πn

해결 :

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

x^{2} = \frac{3 π}{2} + 2 πn

위해서

x^{2} = f (a)

해결책은

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

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

\frac{3 π}{2} + 2 πn

단순화하세요:

\frac{3 π + 4 πn}{2}

\frac{3 π}{2} + 2 πn

\frac{3 π}{2} + 2 πn

합류하다:

\frac{3 π + 4 πn}{2}

\frac{3 π}{2} + 2 πn

요소를 분수로 변환:

2 πn = \frac{2 πn 2}{2}

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

분모가 같기 때문에, 분수를 합친다:

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

= \frac{3 π + 2 πn \cdot 2}{2}

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{3 π + 4 πn}{2}

= \frac{3 π + 4 πn}{2}

- \frac{3 π}{2} + 2 πn

단순화하세요:

- \frac{3 π + 4 πn}{2}

- \frac{3 π}{2} + 2 πn

\frac{3 π}{2} + 2 πn

합류하다:

\frac{3 π + 4 πn}{2}

\frac{3 π}{2} + 2 πn

요소를 분수로 변환:

2 πn = \frac{2 πn 2}{2}

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

분모가 같기 때문에, 분수를 합친다:

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

= \frac{3 π + 2 πn \cdot 2}{2}

숫자를 곱하시오:

2 \cdot 2 = 4

= \frac{3 π + 4 πn}{2}

= - \frac{3 π + 4 πn}{2}

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

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

그래프

인기 있는 예

sec^2(x)=2sec(x)

sec^{2} (x) = 2 sec (x)

sin (x) = \frac{2}{5}

cos(θ/2)=(sqrt(3))/2

cos (\frac{θ}{2}) = \frac{3}{2}

cos (x) = 0.3

2cos^2(x)-7cos(x)+3=0

2 cos^{2} (x) - 7 cos (x) + 3 = 0