English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Phổ biến Lượng giác >

11.33=1.59cos(0.99(x-182))+12.14

Lời Giải

11.33 = 1.59 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 12.14

Lời Giải

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 \cdot 2.10532 \dots}{198 0 ^{\circ}}, x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 \cdot 2.10532 \dots}{198 0 ^{\circ}}

radian

x = \frac{91 π}{90} + \frac{2000 \cdot 2.10532 \dots}{11 π} + \frac{4000}{11} n, x = \frac{91 π}{90} - \frac{2000 \cdot 2.10532 \dots}{11 π} + \frac{4000}{11} n

Các bước giải pháp

11.33 = 1.59 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 12.14

Đổi bên

1.59 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 12.14 = 11.33

Nhân cả hai vế với

100

1.59 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 12.14 = 11.33

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

1.59 cos (0.9 9^{\circ} (x - 18 2^{\circ})) \cdot 100 + 12.14 \cdot 100 = 11.33 \cdot 100

Tinh chỉnh

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 1214 = 1133

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 1214 = 1133

Di chuyển

1214

sang vế phải

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 1214 = 1133

Trừ

1214

cho cả hai bên

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) + 1214 - 1214 = 1133 - 1214

Rút gọn

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - 81

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - 81

Chia cả hai vế cho

159

159 cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - 81

Chia cả hai vế cho

159

\frac{159 cos ( 0.9 9 ^{\circ} ( x - 18 2 ^{\circ} ) )}{159} = \frac{- 81}{159}

Rút gọn

\frac{159 cos ( 0.9 9 ^{\circ} ( x - 18 2 ^{\circ} ) )}{159} = \frac{- 81}{159}

Rút gọn

\frac{159 cos ( 0.9 9 ^{\circ} ( x - 18 2 ^{\circ} ) )}{159} : cos (0.9 9^{\circ} (x - 18 2^{\circ}))

\frac{159 cos ( 0.9 9 ^{\circ} ( x - 18 2 ^{\circ} ) )}{159}

Chia các số:

\frac{159}{159} = 1

= cos (0.9 9^{\circ} (x - 18 2^{\circ}))

Rút gọn

\frac{- 81}{159} : - \frac{27}{53}

\frac{- 81}{159}

Áp dụng quy tắc phân số:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{81}{159}

Triệt tiêu thừa số chung:

3

= - \frac{27}{53}

cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - \frac{27}{53}

cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - \frac{27}{53}

cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - \frac{27}{53}

Áp dụng tính chất nghịch đảo lượng giác

cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - \frac{27}{53}

Các lời giải chung cho

cos (0.9 9^{\circ} (x - 18 2^{\circ})) = - \frac{27}{53}

cos (x) = - a \Rightarrow x = arccos (- a) + 36 0^{\circ} n, x = - arccos (- a) + 36 0^{\circ} n

0.9 9^{\circ} (x - 18 2^{\circ}) = arccos (- \frac{27}{53}) + 36 0^{\circ} n, 0.9 9^{\circ} (x - 18 2^{\circ}) = - arccos (- \frac{27}{53}) + 36 0^{\circ} n

0.9 9^{\circ} (x - 18 2^{\circ}) = arccos (- \frac{27}{53}) + 36 0^{\circ} n, 0.9 9^{\circ} (x - 18 2^{\circ}) = - arccos (- \frac{27}{53}) + 36 0^{\circ} n

Giải

0.9 9^{\circ} (x - 18 2^{\circ}) = arccos (- \frac{27}{53}) + 36 0^{\circ} n : x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

0.9 9^{\circ} (x - 18 2^{\circ}) = arccos (- \frac{27}{53}) + 36 0^{\circ} n

Nhân cả hai vế với

2000

0.9 9^{\circ} (x - 18 2^{\circ}) = arccos (- \frac{27}{53}) + 36 0^{\circ} n

Nhân cả hai vế với

2000

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Rút gọn

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Rút gọn

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) : 198 0^{\circ} (x - 18 2^{\circ})

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ})

Nhân phân số:

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

= \frac{11 \cdot 36000 0 ^{\circ}}{2000} (x - 18 2^{\circ})

Triệt tiêu thừa số chung:

2000

= (x - 18 2^{\circ}) \cdot 198 0^{\circ}

Rút gọn

2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n : 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Nhân các số:

2000 \cdot 2 = 4000

= 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

Chia cả hai vế cho

198 0^{\circ}

198 0^{\circ} (x - 18 2^{\circ}) = 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

Chia cả hai vế cho

198 0^{\circ}

\frac{198 0 ^{\circ} ( x - 18 2 ^{\circ} )}{198 0 ^{\circ}} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{72000 0 ^{\circ} n}{198 0 ^{\circ}}

Rút gọn

x - 18 2^{\circ} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

x - 18 2^{\circ} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

Di chuyển

18 2^{\circ}

sang vế phải

x - 18 2^{\circ} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

Thêm

18 2^{\circ}

vào cả hai bên

x - 18 2^{\circ} + 18 2^{\circ} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Rút gọn

x - 18 2^{\circ} + 18 2^{\circ} = \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Rút gọn

x - 18 2^{\circ} + 18 2^{\circ} : x

x - 18 2^{\circ} + 18 2^{\circ}

Thêm các phần tử tương tự:

- 18 2^{\circ} + 18 2^{\circ} = 0

= x

Rút gọn

\frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ} : 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

\frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Nhóm các thuật ngữ

= 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

Không thể rút gọn thêm

= 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

Giải

0.9 9^{\circ} (x - 18 2^{\circ}) = - arccos (- \frac{27}{53}) + 36 0^{\circ} n : x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

0.9 9^{\circ} (x - 18 2^{\circ}) = - arccos (- \frac{27}{53}) + 36 0^{\circ} n

Nhân cả hai vế với

2000

0.9 9^{\circ} (x - 18 2^{\circ}) = - arccos (- \frac{27}{53}) + 36 0^{\circ} n

Nhân cả hai vế với

2000

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Rút gọn

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Rút gọn

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ}) : 198 0^{\circ} (x - 18 2^{\circ})

2000 \cdot 0.9 9^{\circ} (x - 18 2^{\circ})

Nhân phân số:

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

= \frac{11 \cdot 36000 0 ^{\circ}}{2000} (x - 18 2^{\circ})

Triệt tiêu thừa số chung:

2000

= (x - 18 2^{\circ}) \cdot 198 0^{\circ}

Rút gọn

- 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n : - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

- 2000 arccos (- \frac{27}{53}) + 2000 \cdot 36 0^{\circ} n

Nhân các số:

2000 \cdot 2 = 4000

= - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

198 0^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

Chia cả hai vế cho

198 0^{\circ}

198 0^{\circ} (x - 18 2^{\circ}) = - 2000 arccos (- \frac{27}{53}) + 72000 0^{\circ} n

Chia cả hai vế cho

198 0^{\circ}

\frac{198 0 ^{\circ} ( x - 18 2 ^{\circ} )}{198 0 ^{\circ}} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{72000 0 ^{\circ} n}{198 0 ^{\circ}}

Rút gọn

x - 18 2^{\circ} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

x - 18 2^{\circ} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

Di chuyển

18 2^{\circ}

sang vế phải

x - 18 2^{\circ} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11}

Thêm

18 2^{\circ}

vào cả hai bên

x - 18 2^{\circ} + 18 2^{\circ} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Rút gọn

x - 18 2^{\circ} + 18 2^{\circ} = - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Rút gọn

x - 18 2^{\circ} + 18 2^{\circ} : x

x - 18 2^{\circ} + 18 2^{\circ}

Thêm các phần tử tương tự:

- 18 2^{\circ} + 18 2^{\circ} = 0

= x

Rút gọn

- \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ} : 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

- \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}} + \frac{4000 n}{11} + 18 2^{\circ}

Nhóm các thuật ngữ

= 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

Không thể rút gọn thêm

= 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}, x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 arccos ( - \frac{27}{53} )}{198 0 ^{\circ}}

Hiển thị các lời giải ở dạng thập phân

x = 18 2^{\circ} + \frac{4000 n}{11} + \frac{2000 \cdot 2.10532 \dots}{198 0 ^{\circ}}, x = 18 2^{\circ} + \frac{4000 n}{11} - \frac{2000 \cdot 2.10532 \dots}{198 0 ^{\circ}}

Đồ Thị

Ví dụ phổ biến

6cos(3x)=6cos(x)

6 cos (3 x) = 6 cos (x)

4cos(x)=-2sqrt(2)

4 cos (x) = - 22

tan(θ)=(0.15)/(0.5)

tan (θ) = \frac{0.15}{0.5}

arctan(x/(12))-arctan(x)=0.001

arctan (\frac{x}{12}) - arctan (x) = 0.001

2=2cos(pi+x)

2 = 2 cos (π + x)