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인기 있는 >

sin(2v)=sin(16)

해법

sin (2 v) = sin (1 6^{\circ})

해법

v = 8^{\circ} + 18 0^{\circ} n, v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

+1

라디안

v = \frac{2 π}{45} + πn, v = \frac{π}{2} - \frac{2 π}{45} + πn

솔루션 단계

sin (2 v) = sin (1 6^{\circ})

트리거 역속성 적용

sin (2 v) = sin (1 6^{\circ})

일반 솔루션

sin (2 v) = sin (1 6^{\circ})

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n, 2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n, 2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

해결 :

v = 8^{\circ} + 18 0^{\circ} n

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

2 v = arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

\frac{2 v}{2} = \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 v}{2} = \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 v}{2}

간소화하다 :

v

\frac{2 v}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= v

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

8^{\circ} + 18 0^{\circ} n

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} = 8^{\circ}

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2}

arcsin (sin (1 6^{\circ})) = 1 6^{\circ}

arcsin (sin (1 6^{\circ}))

- 9 0^{\circ} \leq v \leq 9 0^{\circ}

위한

, a rcs in (s in (x)) = x

- 9 0^{\circ} \leq 1 6^{\circ} \leq 9 0^{\circ}

= 1 6^{\circ}

= \frac{1 6 ^{\circ}}{2}

분수 규칙 적용:

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

= \frac{72 0 ^{\circ}}{45 \cdot 2}

숫자를 곱하시오:

45 \cdot 2 = 90

= 8^{\circ}

공통 요인 취소:

2

= 8^{\circ}

= 8^{\circ} + \frac{36 0 ^{\circ} n}{2}

\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

= 8^{\circ} + 18 0^{\circ} n

v = 8^{\circ} + 18 0^{\circ} n

v = 8^{\circ} + 18 0^{\circ} n

v = 8^{\circ} + 18 0^{\circ} n

2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

해결 :

v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

2 v = 18 0^{\circ} - arcsin (sin (1 6^{\circ})) + 36 0^{\circ} n

양쪽을 다음으로 나눕니다

2

\frac{2 v}{2} = 9 0^{\circ} - \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

단순화

\frac{2 v}{2} = 9 0^{\circ} - \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{2 v}{2}

간소화하다 :

v

\frac{2 v}{2}

숫자를 나눕니다:

\frac{2}{2} = 1

= v

9 0^{\circ} - \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

간소화하다 :

9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

9 0^{\circ} - \frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2} = 8^{\circ}

\frac{arcsin ( sin ( 1 6 ^{\circ} ) )}{2}

arcsin (sin (1 6^{\circ})) = 1 6^{\circ}

arcsin (sin (1 6^{\circ}))

- 9 0^{\circ} \leq v \leq 9 0^{\circ}

위한

, a rcs in (s in (x)) = x

- 9 0^{\circ} \leq 1 6^{\circ} \leq 9 0^{\circ}

= 1 6^{\circ}

= \frac{1 6 ^{\circ}}{2}

분수 규칙 적용:

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

= \frac{72 0 ^{\circ}}{45 \cdot 2}

숫자를 곱하시오:

45 \cdot 2 = 90

= 8^{\circ}

공통 요인 취소:

2

= 8^{\circ}

= 9 0^{\circ} - 8^{\circ} + \frac{36 0 ^{\circ} n}{2}

\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

= 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

v = 8^{\circ} + 18 0^{\circ} n, v = 9 0^{\circ} - 8^{\circ} + 18 0^{\circ} n

인기 있는 예

tan(2x)=(130)/(-270-120)

tan (2 x) = \frac{130}{- 270 - 120}

-3sin(x)-2cos(2x)=0

- 3 sin (x) - 2 cos (2 x) = 0

2cos(x)tan(x)=1

2 cos (x) tan (x) = 1

sin(10x)=sin(7x)

sin (10 x) = sin (7 x)

185=(220sqrt(2))/pi-cos(pi)+cos(x)

185 = \frac{220 2}{π} - cos (π) + cos (x)