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cos(3.7x+5.2)=0

해법

cos (3.7 x + 5.2) = 0

해법

x = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}, x = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

도

x = - 56.19947 \dots^{\circ} + 97.29729 \dots^{\circ} n, x = - 7.55082 \dots^{\circ} + 97.29729 \dots^{\circ} n

솔루션 단계

cos (3.7 x + 5.2) = 0

일반 솔루션

cos (3.7 x + 5.2) = 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}

3.7 x + 5.2 = \frac{π}{2} + 2 πn, 3.7 x + 5.2 = \frac{3 π}{2} + 2 πn

3.7 x + 5.2 = \frac{π}{2} + 2 πn, 3.7 x + 5.2 = \frac{3 π}{2} + 2 πn

3.7 x + 5.2 = \frac{π}{2} + 2 πn

해결 :

x = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

3.7 x + 5.2 = \frac{π}{2} + 2 πn

양쪽을 곱한 값

10

3.7 x + 5.2 = \frac{π}{2} + 2 πn

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

3.7 x \cdot 10 + 5.2 \cdot 10 = \frac{π}{2} \cdot 10 + 2 πn \cdot 10

다듬다

37 x + 52 = 5 π + 20 πn

37 x + 52 = 5 π + 20 πn

52

를 오른쪽으로 이동

37 x + 52 = 5 π + 20 πn

빼다

52

양쪽에서

37 x + 52 - 52 = 5 π + 20 πn - 52

단순화

37 x = 5 π + 20 πn - 52

37 x = 5 π + 20 πn - 52

양쪽을 다음으로 나눕니다

37

37 x = 5 π + 20 πn - 52

양쪽을 다음으로 나눕니다

37

\frac{37 x}{37} = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

단순화

x = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

x = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

3.7 x + 5.2 = \frac{3 π}{2} + 2 πn

해결 :

x = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

3.7 x + 5.2 = \frac{3 π}{2} + 2 πn

양쪽을 곱한 값

10

3.7 x + 5.2 = \frac{3 π}{2} + 2 πn

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

3.7 x \cdot 10 + 5.2 \cdot 10 = \frac{3 π}{2} \cdot 10 + 2 πn \cdot 10

다듬다

37 x + 52 = 15 π + 20 πn

37 x + 52 = 15 π + 20 πn

52

를 오른쪽으로 이동

37 x + 52 = 15 π + 20 πn

빼다

52

양쪽에서

37 x + 52 - 52 = 15 π + 20 πn - 52

단순화

37 x = 15 π + 20 πn - 52

37 x = 15 π + 20 πn - 52

양쪽을 다음으로 나눕니다

37

37 x = 15 π + 20 πn - 52

양쪽을 다음으로 나눕니다

37

\frac{37 x}{37} = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

단순화

x = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

x = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

x = \frac{5 π}{37} + \frac{20 πn}{37} - \frac{52}{37}, x = \frac{15 π}{37} + \frac{20 πn}{37} - \frac{52}{37}

해법

해법

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