What is the general solution for csc(2x)=2,x0<x<360 ?

Q: What is the general solution for csc(2x)=2,x0<x<360 ?

The general solution for csc(2x)=2,x0<x<360 is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(2x)=2,x0<x<360

Solution

csc (2 x) = 2, x 0^{\circ} < x < 36 0^{\circ}

Solution

No Solution for x \in R

Solution steps

csc (2 x) = 2, x \cdot 0^{\circ} < x < 36 0^{\circ}

General solutions for

csc (2 x) = 2

csc (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

Solve

2 x = 3 0^{\circ} + 36 0^{\circ} n : x = 1 5^{\circ} + 18 0^{\circ} n

2 x = 3 0^{\circ} + 36 0^{\circ} n

Divide both sides by

2

2 x = 3 0^{\circ} + 36 0^{\circ} n

Divide both sides by

2

\frac{2 x}{2} = \frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

Simplify

\frac{2 x}{2} = \frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

Simplify

\frac{2 x}{2} : x

\frac{2 x}{2}

Divide the numbers:

\frac{2}{2} = 1

= x

Simplify

\frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2} : 1 5^{\circ} + 18 0^{\circ} n

\frac{3 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{3 0 ^{\circ}}{2} = 1 5^{\circ}

\frac{3 0 ^{\circ}}{2}

Apply the fraction rule:

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

= \frac{18 0 ^{\circ}}{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 1 5^{\circ}

\frac{36 0 ^{\circ} n}{2} = 18 0^{\circ} n

\frac{36 0 ^{\circ} n}{2}

Divide the numbers:

\frac{2}{2} = 1

= 18 0^{\circ} n

= 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n

Solve

2 x = 15 0^{\circ} + 36 0^{\circ} n : x = 7 5^{\circ} + 18 0^{\circ} n

2 x = 15 0^{\circ} + 36 0^{\circ} n

Divide both sides by

2

2 x = 15 0^{\circ} + 36 0^{\circ} n

Divide both sides by

2

\frac{2 x}{2} = \frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

Simplify

\frac{2 x}{2} = \frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

Simplify

\frac{2 x}{2} : x

\frac{2 x}{2}

Divide the numbers:

\frac{2}{2} = 1

= x

Simplify

\frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2} : 7 5^{\circ} + 18 0^{\circ} n

\frac{15 0 ^{\circ}}{2} + \frac{36 0 ^{\circ} n}{2}

\frac{15 0 ^{\circ}}{2} = 7 5^{\circ}

\frac{15 0 ^{\circ}}{2}

Apply the fraction rule:

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

= \frac{90 0 ^{\circ}}{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 7 5^{\circ}

\frac{36 0 ^{\circ} n}{2} = 18 0^{\circ} n

\frac{36 0 ^{\circ} n}{2}

Divide the numbers:

\frac{2}{2} = 1

= 18 0^{\circ} n

= 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 7 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

Solutions for the range

x 0 < x < 36 0^{\circ}

No Solution for x \in R

Popular Examples

tan(x)= 6/7

tan (x) = \frac{6}{7}

4sin^2(x)+2cos(x)=3

4 sin^{2} (x) + 2 cos (x) = 3

10cos(x)=2.5sin(x)

10 cos (x) = 2.5 sin (x)

sin(0.6)-sin(0.6+x)=0.95

sin (0.6) - sin (0.6 + x) = 0.95

tan(x)= 56/91

tan (x) = \frac{56}{91}

Frequently Asked Questions (FAQ)

What is the general solution for csc(2x)=2,x0<x<360 ?
The general solution for csc(2x)=2,x0<x<360 is No Solution for x\in\mathbb{R}