What is the general solution for cos(a)=(-82)/(sqrt(140)*\sqrt{138)} ?

The general solution for cos(a)=(-82)/(sqrt(140)*\sqrt{138)} is a=2.20178…+2pin,a=-2.20178…+2pin

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cos(a)=(-82)/(sqrt(140)*\sqrt{138)}

cos (a) = \frac{- 82}{140 \cdot 138}

a = 2.20178 \dots + 2 πn, a = - 2.20178 \dots + 2 πn

Solution steps

cos (a) = \frac{- 82}{140 138}

Simplify

\frac{- 82}{140 138} : - \frac{41 4830}{4830}

Apply trig inverse properties

a = arccos (- \frac{41 4830}{4830}) + 2 πn, a = - arccos (- \frac{41 4830}{4830}) + 2 πn

Show solutions in decimal form

a = 2.20178 \dots + 2 πn, a = - 2.20178 \dots + 2 πn

sec^{2} (x) - cos (x) = 0

sin (x) \cdot sec (x) = 0

cos (x) = - 0.1235, 0 \leq x \leq 2 π

sin (\frac{3 π}{x}) = 0

x, (sin (x) - lo g_{3} (12)) = 20

What is the general solution for cos(a)=(-82)/(sqrt(140)*\sqrt{138)} ?
The general solution for cos(a)=(-82)/(sqrt(140)*\sqrt{138)} is a=2.20178…+2pin,a=-2.20178…+2pin