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

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

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cos(α)= 5/13

cos (α) = \frac{5}{13}

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

Degrees

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

Solution steps

cos (α) = \frac{5}{13}

Apply trig inverse properties

cos (α) = \frac{5}{13}

General solutions for

cos (α) = \frac{5}{13}

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

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

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

Show solutions in decimal form

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

tan (x) = 3, 0 \leq x \leq 2 π

3 sec (θ) + 7 = 0

(tan (x) + 1) (sec (x) - 1) = 0

cos (θ) = 23

7 sin^{2} (θ) - 16 sin (θ) + 9 = 0

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