ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある三角関数 >

25sin(60)1.76-(9.8)/2*(1.76)^2

解

25 \cdot sin (6 0^{\circ}) \cdot 1.76 - \frac{9.8}{2} \cdot (1.76)^{2}

解

223 - \frac{47432}{3125}

+1

十進法表記

22.92687 \dots

解答ステップ

25 sin (6 0^{\circ}) \cdot 1.76 - \frac{9.8}{2} (1.76)^{2}

= 25 sin (6 0^{\circ}) \frac{44}{25} - \frac{\frac{49}{5}}{2} (\frac{44}{25})^{2}

次の自明恒等式を使用する:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\circ})

sin (x)

36 0^{\circ} n

循環を含む周期性テーブル:

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{3}{2}

= 25 \cdot \frac{3}{2} \cdot \frac{44}{25} - \frac{\frac{49}{5}}{2} (\frac{44}{25})^{2}

簡素化

25 \cdot \frac{3}{2} \cdot \frac{44}{25} - \frac{\frac{49}{5}}{2} (\frac{44}{25})^{2} : 223 - \frac{47432}{3125}

25 \cdot \frac{3}{2} \cdot \frac{44}{25} - \frac{\frac{49}{5}}{2} (\frac{44}{25})^{2}

25 \cdot \frac{3}{2} \cdot \frac{44}{25} = 223

25 \cdot \frac{3}{2} \cdot \frac{44}{25}

分数を乗じる:

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

= \frac{3 \cdot 44 \cdot 25}{2 \cdot 25}

共通因数を約分する:

25

= \frac{3 \cdot 44}{2}

数を割る:

\frac{44}{2} = 22

= 223

\frac{\frac{49}{5}}{2} (\frac{44}{25})^{2} = \frac{47432}{3125}

\frac{\frac{49}{5}}{2} (\frac{44}{25})^{2}

\frac{\frac{49}{5}}{2} = \frac{49}{10}

\frac{\frac{49}{5}}{2}

分数の規則を適用する:

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

= \frac{49}{5 \cdot 2}

数を乗じる:

5 \cdot 2 = 10

= \frac{49}{10}

= (\frac{44}{25})^{2} \frac{49}{10}

(\frac{44}{25})^{2} = \frac{4 4 ^{2}}{2 5 ^{2}}

(\frac{44}{25})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{4 4 ^{2}}{2 5 ^{2}}

= \frac{49}{10} \cdot \frac{4 4 ^{2}}{2 5 ^{2}}

分数を乗じる:

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

= \frac{49 \cdot 4 4 ^{2}}{10 \cdot 2 5 ^{2}}

因数

4 4^{2} : 2^{4} \cdot 1 1^{2}

因数

44 = 2^{2} \cdot 11

= (2^{2} \cdot 11)^{2}

指数の規則を適用する:

(ab)^{c} = a^{c} b^{c}

= 1 1^{2} (2^{2})^{2}

簡素化

(2^{2})^{2} : 2^{4}

(2^{2})^{2}

指数の規則を適用する:

(a^{b})^{c} = a^{b c}

= 2^{2 \cdot 2}

数を乗じる:

2 \cdot 2 = 4

= 2^{4}

= 2^{4} \cdot 1 1^{2}

因数

10 : 2 \cdot 5

因数

10 = 2 \cdot 5

= \frac{2 ^{4} \cdot 1 1 ^{2} \cdot 49}{2 5 ^{2} \cdot 2 \cdot 5}

共通因数を約分する:

2

= \frac{2 ^{3} \cdot 1 1 ^{2} \cdot 49}{2 5 ^{2} \cdot 5}

2^{3} \cdot 1 1^{2} \cdot 49 = 47432

2^{3} \cdot 1 1^{2} \cdot 49

2^{3} = 8

= 1 1^{2} \cdot 8 \cdot 49

1 1^{2} = 121

= 8 \cdot 121 \cdot 49

数を乗じる:

8 \cdot 121 \cdot 49 = 47432

= 47432

= \frac{47432}{2 5 ^{2} \cdot 5}

2 5^{2} \cdot 5 = 3125

2 5^{2} \cdot 5

2 5^{2} = 625

= 625 \cdot 5

数を乗じる:

625 \cdot 5 = 3125

= 3125

= \frac{47432}{3125}

= 223 - \frac{47432}{3125}

= 223 - \frac{47432}{3125}

人気の例

arcsin (- 0.13)

arcsin (- 0.15)

sin (0) + 2

-3400cos(40)+3656

- 3400 cos (4 0^{\circ}) + 3656

34 sin (2 0^{\circ})