What is the general solution for sqrt((3\sqrt{3))/pi}=sec(c) ?

The general solution for sqrt((3\sqrt{3))/pi}=sec(c) is c=0.68001…+2pin,c=2pi-0.68001…+2pin

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sqrt((3\sqrt{3))/pi}=sec(c)

\frac{3 3}{π} = sec (c)

c = 0.68001 \dots + 2 πn, c = 2 π - 0.68001 \dots + 2 πn

Degrees

c = 38.96227 \dots^{\circ} + 36 0^{\circ} n, c = 321.03772 \dots^{\circ} + 36 0^{\circ} n

Solution steps

\frac{3 3}{π} = sec (c)

Switch sides

sec (c) = \frac{3 3}{π}

Apply trig inverse properties

sec (c) = \frac{3 3}{π}

General solutions for

sec (c) = \frac{3 3}{π}

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

c = arcsec \frac{3 3}{π} + 2 πn, c = 2 π - arcsec \frac{3 3}{π} + 2 πn

c = arcsec \frac{3 3}{π} + 2 πn, c = 2 π - arcsec \frac{3 3}{π} + 2 πn

Show solutions in decimal form

c = 0.68001 \dots + 2 πn, c = 2 π - 0.68001 \dots + 2 πn

2 \cdot sin^{2} (x) = sin (x)

tan (x) = \frac{1}{3}

sin (x) sin (2 x) - 2 cos (x) cos (2 x) = 0

a, y = sin (a)

cot^{2} (x) + csc (x) + 1 = 0

What is the general solution for sqrt((3\sqrt{3))/pi}=sec(c) ?
The general solution for sqrt((3\sqrt{3))/pi}=sec(c) is c=0.68001…+2pin,c=2pi-0.68001…+2pin