What is the general solution for sec(x)= 25/7 ?

The general solution for sec(x)= 25/7 is x=1.28700…+2pin,x=2pi-1.28700…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(x)= 25/7

sec (x) = \frac{25}{7}

x = 1.28700 \dots + 2 πn, x = 2 π - 1.28700 \dots + 2 πn

Degrees

x = 73.73979 \dots^{\circ} + 36 0^{\circ} n, x = 286.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = \frac{25}{7}

Apply trig inverse properties

sec (x) = \frac{25}{7}

General solutions for

sec (x) = \frac{25}{7}

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

x = arcsec (\frac{25}{7}) + 2 πn, x = 2 π - arcsec (\frac{25}{7}) + 2 πn

x = arcsec (\frac{25}{7}) + 2 πn, x = 2 π - arcsec (\frac{25}{7}) + 2 πn

Show solutions in decimal form

x = 1.28700 \dots + 2 πn, x = 2 π - 1.28700 \dots + 2 πn

sin (\frac{x}{2}) = \frac{1}{2} sin (x)

tan (θ) = \frac{- 3}{3}

csc (2 θ) = \frac{1}{2} (sec (θ)) (cos (θ))

sec^{2} (x) + 2 sec (x) - 8 = 0

3 cos^{2} (x) + 4 sin (x) - 4 = 0

What is the general solution for sec(x)= 25/7 ?
The general solution for sec(x)= 25/7 is x=1.28700…+2pin,x=2pi-1.28700…+2pin