What is the general solution for sec(y)=(5/4) ?

The general solution for sec(y)=(5/4) is y=0.64350…+2pin,y=2pi-0.64350…+2pin

sec(y)=(5/4)

sec (y) = (\frac{5}{4})

y = 0.64350 \dots + 2 πn, y = 2 π - 0.64350 \dots + 2 πn

Degrees

y = 36.86989 \dots^{\circ} + 36 0^{\circ} n, y = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (y) = (\frac{5}{4})

Apply trig inverse properties

sec (y) = \frac{5}{4}

General solutions for

sec (y) = \frac{5}{4}

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

y = arcsec (\frac{5}{4}) + 2 πn, y = 2 π - arcsec (\frac{5}{4}) + 2 πn

y = arcsec (\frac{5}{4}) + 2 πn, y = 2 π - arcsec (\frac{5}{4}) + 2 πn

Show solutions in decimal form

y = 0.64350 \dots + 2 πn, y = 2 π - 0.64350 \dots + 2 πn

\frac{sin ( 6 5 ^{\circ} )}{5} = \frac{sin ( x )}{4}

1.33 \cdot sin (6 0^{\circ}) = 1.52 \cdot sin (x)

tan (x) = - 3 cos (x) tan (x)

tan (x - \frac{π}{4}) = \frac{1}{6}

cos (2 x) - 2 sin (x) = 1

What is the general solution for sec(y)=(5/4) ?
The general solution for sec(y)=(5/4) is y=0.64350…+2pin,y=2pi-0.64350…+2pin