What is the general solution for sec^2(a)= 4/3 ?

The general solution for sec^2(a)= 4/3 is a= pi/6+2pin,a=(11pi)/6+2pin,a=(5pi)/6+2pin,a=(7pi)/6+2pin

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sec^2(a)= 4/3

sec^{2} (a) = \frac{4}{3}

a = \frac{π}{6} + 2 πn, a = \frac{11 π}{6} + 2 πn, a = \frac{5 π}{6} + 2 πn, a = \frac{7 π}{6} + 2 πn

Solution steps

sec^{2} (a) = \frac{4}{3}

Solve by substitution

sec (a) = \frac{2 3}{3}, sec (a) = - \frac{2 3}{3}

sec (a) = \frac{2 3}{3} : a = \frac{π}{6} + 2 πn, a = \frac{11 π}{6} + 2 πn

sec (a) = - \frac{2 3}{3} : a = \frac{5 π}{6} + 2 πn, a = \frac{7 π}{6} + 2 πn

Combine all the solutions

a = \frac{π}{6} + 2 πn, a = \frac{11 π}{6} + 2 πn, a = \frac{5 π}{6} + 2 πn, a = \frac{7 π}{6} + 2 πn

sin (5 x - 27) = cos (6 x + 13.6)

sin (x) = \frac{1}{cos ( - 10 0 ^{\circ} )}

3 tan^{2} (x) - 23 tan (x) + 1 = 0

tan (θ) = 0.6795786612

x, arccos (x) - arccos (\frac{y}{2}) = a

What is the general solution for sec^2(a)= 4/3 ?
The general solution for sec^2(a)= 4/3 is a= pi/6+2pin,a=(11pi)/6+2pin,a=(5pi)/6+2pin,a=(7pi)/6+2pin