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

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

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cos(a)= 5/13

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

sec (2 x) - 2 = 0

2 sin^{2} (θ) + sin (θ) = 1

cot^{2} (x) + csc (x) = 1

sin (x) = \frac{- 2}{2}

sin (x) = - \frac{1}{2}

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