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

The general solution for cos(x)=(sqrt(5))/5 is x=1.10714…+2pin,x=2pi-1.10714…+2pin

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cos(x)=(sqrt(5))/5

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

x = 1.10714 \dots + 2 πn, x = 2 π - 1.10714 \dots + 2 πn

Degrees

x = 63.43494 \dots^{\circ} + 36 0^{\circ} n, x = 296.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

x = 1.10714 \dots + 2 πn, x = 2 π - 1.10714 \dots + 2 πn

(sec (t) - 2) (cot (t) + 1) = 0

tan (θ) = \frac{50}{60}

2 tan^{2} (θ) cos (θ) - tan^{2} (θ) = 0

1 + 2 cot (θ) - 2 cot^{2} (θ) = - 3 cot^{2} (θ)

sin (x) - 9 = cos (x) - 9

What is the general solution for cos(x)=(sqrt(5))/5 ?
The general solution for cos(x)=(sqrt(5))/5 is x=1.10714…+2pin,x=2pi-1.10714…+2pin