What is the general solution for cos(a)= 5/8 ?

The general solution for cos(a)= 5/8 is a=0.89566…+2pin,a=2pi-0.89566…+2pin

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cos(a)= 5/8

cos (a) = \frac{5}{8}

a = 0.89566 \dots + 2 πn, a = 2 π - 0.89566 \dots + 2 πn

Degrees

a = 51.31781 \dots^{\circ} + 36 0^{\circ} n, a = 308.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = \frac{5}{8}

Apply trig inverse properties

cos (a) = \frac{5}{8}

General solutions for

cos (a) = \frac{5}{8}

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

a = arccos (\frac{5}{8}) + 2 πn, a = 2 π - arccos (\frac{5}{8}) + 2 πn

a = arccos (\frac{5}{8}) + 2 πn, a = 2 π - arccos (\frac{5}{8}) + 2 πn

Show solutions in decimal form

a = 0.89566 \dots + 2 πn, a = 2 π - 0.89566 \dots + 2 πn

tan (θ) sin^{2} (θ) = tan (θ)

cos (θ) = \frac{5}{8}

6 (1 - cos (θ)) = sin^{2} (θ), 0 \leq θ \leq 2 π

cot (θ) + 3 = 0, 0 \leq θ \leq 2 π

2 cos (θ) - 2 = 0, 0 \leq θ \leq 2 π

What is the general solution for cos(a)= 5/8 ?
The general solution for cos(a)= 5/8 is a=0.89566…+2pin,a=2pi-0.89566…+2pin