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

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

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cos(b)= 5/13

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

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