What is the general solution for cos(A)= 1/3 ?

The general solution for cos(A)= 1/3 is A=1.23095…+2pin,A=2pi-1.23095…+2pin

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cos(A)= 1/3

cos (A) = \frac{1}{3}

A = 1.23095 \dots + 2 πn, A = 2 π - 1.23095 \dots + 2 πn

Degrees

A = 70.52877 \dots^{\circ} + 36 0^{\circ} n, A = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (A) = \frac{1}{3}

Apply trig inverse properties

cos (A) = \frac{1}{3}

General solutions for

cos (A) = \frac{1}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

A = arccos (\frac{1}{3}) + 2 πn, A = 2 π - arccos (\frac{1}{3}) + 2 πn

A = arccos (\frac{1}{3}) + 2 πn, A = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

A = 1.23095 \dots + 2 πn, A = 2 π - 1.23095 \dots + 2 πn

100 = \frac{50}{sin ( \frac{x}{2} )}

tan (2 θ) = \frac{- 2}{1 - 1}

3 - 3 cos (x) = 3

cos (x) = \frac{5}{6}, \frac{3 π}{2} \leq x \leq 2 π

tan (2 x - 3) = - 1

What is the general solution for cos(A)= 1/3 ?
The general solution for cos(A)= 1/3 is A=1.23095…+2pin,A=2pi-1.23095…+2pin