What is the general solution for arccsc(2x)+arcsin(0)=arctan(1/(sqrt(3))) ?

The general solution for arccsc(2x)+arcsin(0)=arctan(1/(sqrt(3))) is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arccsc(2x)+arcsin(0)=arctan(1/(sqrt(3)))

arccsc (2 x) + arcsin (0) = arctan (\frac{1}{3})

x = 1

Solution steps

arccsc (2 x) + arcsin (0) = arctan (\frac{1}{3})

arcsin (0) = 0

arcsin (0)

Use the following trivial identity:

arcsin (0) = 0

arcsin (0)

x 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arcsin (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} arcsin (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ}

= 0

= 0

arctan (\frac{1}{3}) = \frac{π}{6}

arctan (\frac{1}{3})

Use the following trivial identity:

arctan (\frac{1}{3}) = \frac{π}{6}

arctan (\frac{1}{3})

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{6}

= \frac{π}{6}

arccsc (2 x) + 0 = \frac{π}{6}

arccsc (2 x) + 0 = arccsc (2 x)

arccsc (2 x) = \frac{π}{6}

Apply trig inverse properties

arccsc (2 x) = \frac{π}{6}

arccsc (x) = a \Rightarrow x = csc (a)

2 x = csc (\frac{π}{6})

csc (\frac{π}{6}) = 2

csc (\frac{π}{6})

Use the following trivial identity:

csc (\frac{π}{6}) = 2

csc (\frac{π}{6})

csc (x)

periodicity table with

2 πn

cycle:

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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= 2

= 2

2 x = 2

2 x = 2

Solve

2 x = 2 : x = 1

2 x = 2

Divide both sides by

2

2 x = 2

Divide both sides by

2

\frac{2 x}{2} = \frac{2}{2}

Simplify

x = 1

x = 1

x = 1

sin (t) + cos (2 t) = 0.75

2 cos (x) = cot (x)

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

cos (2 t) - cos (t) = - 0.5

sin^{2} (x) - cos (x) + 1 = 0

What is the general solution for arccsc(2x)+arcsin(0)=arctan(1/(sqrt(3))) ?
The general solution for arccsc(2x)+arcsin(0)=arctan(1/(sqrt(3))) is x=1