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

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-sec(x)=csc(3.45)

- sec (x) = csc (3.45)

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

Solution steps

- sec (x) = csc (3.45)

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

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

Divide both sides by

- 1

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

Apply trig inverse properties

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