What is the general solution for -sec(x)=csc(3.45) ?

The general solution for -sec(x)=csc(3.45) is x=1.26238…+2pin,x=2pi-1.26238…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-sec(x)=csc(3.45)

- sec (x) = csc (3.45)

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

Degrees

x = 72.32956 \dots^{\circ} + 36 0^{\circ} n, x = 287.67043 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- sec (x) = csc (3.45)

csc (3.45) = csc (\frac{69}{20})

csc (3.45)

- sec (x) = csc (\frac{69}{20})

Divide both sides by

- 1

- sec (x) = csc (\frac{69}{20})

Divide both sides by

- 1

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

Simplify

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

Simplify

\frac{- sec ( x )}{- 1} : sec (x)

\frac{- sec ( x )}{- 1}

Apply the fraction rule:

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

= \frac{sec ( x )}{1}

Apply rule

\frac{a}{1} = a

= sec (x)

Simplify

\frac{csc ( \frac{69}{20} )}{- 1} : - csc (\frac{69}{20})

\frac{csc ( \frac{69}{20} )}{- 1}

Apply the fraction rule:

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

= - \frac{csc ( \frac{69}{20} )}{1}

Apply the fraction rule:

\frac{a}{1} = a

\frac{csc ( \frac{69}{20} )}{1} = csc (\frac{69}{20})

= - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

Apply trig inverse properties

sec (x) = - csc (\frac{69}{20})

General solutions for

sec (x) = - csc (\frac{69}{20})

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

Show solutions in decimal form

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

cos (2 x) = \frac{8}{17}

tan (x) (csc (x) + 2) = 0

4 cos^{2} (x) = 5 + 4 sin (x), 0 \leq x \leq 2 π

sin (π + θ) = sin (θ)

0 = 2 cos (x) + sin (x)

What is the general solution for -sec(x)=csc(3.45) ?
The general solution for -sec(x)=csc(3.45) is x=1.26238…+2pin,x=2pi-1.26238…+2pin