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

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

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sec(a)= 5/4

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

cot^{4} (x) - 9 = 0

0.5 \cdot sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

sin (2 x) = 2 cos (2 x)

5 tan^{2} (x) - 7 = 8

3 sin (2 y) - 4 sin (2 y) cos (2 y) = 0

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