What is the general solution for cos(a)=(57)/(sqrt(113)*\sqrt{78)} ?

The general solution for cos(a)=(57)/(sqrt(113)*\sqrt{78)} is a=0.91834…+2pin,a=2pi-0.91834…+2pin

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cos(a)=(57)/(sqrt(113)*\sqrt{78)}

cos (a) = \frac{57}{113 \cdot 78}

a = 0.91834 \dots + 2 πn, a = 2 π - 0.91834 \dots + 2 πn

Solution steps

cos (a) = \frac{57}{113 78}

Simplify

\frac{57}{113 78} : \frac{19 8814}{2938}

Apply trig inverse properties

a = arccos (\frac{19 8814}{2938}) + 2 πn, a = 2 π - arccos (\frac{19 8814}{2938}) + 2 πn

Show solutions in decimal form

a = 0.91834 \dots + 2 πn, a = 2 π - 0.91834 \dots + 2 πn

tan^{2} (x) + tan (x) - 12 = 2

x, cos^{2} (x + x y) = \frac{3}{2}

sin (o) = \frac{3}{5}

a cos (x) = cos (x)

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

What is the general solution for cos(a)=(57)/(sqrt(113)*\sqrt{78)} ?
The general solution for cos(a)=(57)/(sqrt(113)*\sqrt{78)} is a=0.91834…+2pin,a=2pi-0.91834…+2pin