What is the general solution for sec(b)=2 ?

The general solution for sec(b)=2 is b= pi/3+2pin,b=(5pi)/3+2pin

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sec(b)=2

sec (b) = 2

b = \frac{π}{3} + 2 πn, b = \frac{5 π}{3} + 2 πn

Solution steps

sec (b) = 2

General solutions for

sec (b) = 2

b = \frac{π}{3} + 2 πn, b = \frac{5 π}{3} + 2 πn

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

cos (\frac{θ}{2}) = - \frac{2}{2}

16 sin^{2} (x) + 24 sin (x) + 8 = 0

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

6 tan^{2} (θ) - 10 tan (θ) + 1 = - 5 tan (θ)

What is the general solution for sec(b)=2 ?
The general solution for sec(b)=2 is b= pi/3+2pin,b=(5pi)/3+2pin