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

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sec(y)=(5/4)

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

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

Solution steps

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

Apply trig inverse properties

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}

2 - 6.5 sin (x) = 0

2 sin^{2} (x) = 4 sin (x) + 6, 0 \leq x \leq 2 π

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

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

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