What is the general solution for cos(a)= 12/13 ?

The general solution for cos(a)= 12/13 is a=0.39479…+2pin,a=2pi-0.39479…+2pin

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cos(a)= 12/13

cos (a) = \frac{12}{13}

a = 0.39479 \dots + 2 πn, a = 2 π - 0.39479 \dots + 2 πn

Degrees

a = 22.61986 \dots^{\circ} + 36 0^{\circ} n, a = 337.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = \frac{12}{13}

Apply trig inverse properties

cos (a) = \frac{12}{13}

General solutions for

cos (a) = \frac{12}{13}

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

a = arccos (\frac{12}{13}) + 2 πn, a = 2 π - arccos (\frac{12}{13}) + 2 πn

a = arccos (\frac{12}{13}) + 2 πn, a = 2 π - arccos (\frac{12}{13}) + 2 πn

Show solutions in decimal form

a = 0.39479 \dots + 2 πn, a = 2 π - 0.39479 \dots + 2 πn

π cos (π x) = 0

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

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

1 - tan (x) = sec (x)

sin (x) - 3 cos (x) = 0

What is the general solution for cos(a)= 12/13 ?
The general solution for cos(a)= 12/13 is a=0.39479…+2pin,a=2pi-0.39479…+2pin