What is the general solution for cos(x)= 5/13 ?

The general solution for cos(x)= 5/13 is x=1.17600…+2pin,x=2pi-1.17600…+2pin

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cos(x)= 5/13

cos (x) = \frac{5}{13}

x = 1.17600 \dots + 2 πn, x = 2 π - 1.17600 \dots + 2 πn

Degrees

x = 67.38013 \dots^{\circ} + 36 0^{\circ} n, x = 292.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{5}{13}

Apply trig inverse properties

cos (x) = \frac{5}{13}

General solutions for

cos (x) = \frac{5}{13}

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

x = arccos (\frac{5}{13}) + 2 πn, x = 2 π - arccos (\frac{5}{13}) + 2 πn

x = arccos (\frac{5}{13}) + 2 πn, x = 2 π - arccos (\frac{5}{13}) + 2 πn

Show solutions in decimal form

x = 1.17600 \dots + 2 πn, x = 2 π - 1.17600 \dots + 2 πn

3 sin (x) + cos (x) = 1

sin (t) = \frac{1}{2}

sin (θ) - cos (θ) = 2

sin (θ) + 3 cos (θ) = 0

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

What is the general solution for cos(x)= 5/13 ?
The general solution for cos(x)= 5/13 is x=1.17600…+2pin,x=2pi-1.17600…+2pin