What is the general solution for cos(x)= 67/77 ?

The general solution for cos(x)= 67/77 is x=0.51533…+2pin,x=2pi-0.51533…+2pin

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cos(x)= 67/77

cos (x) = \frac{67}{77}

x = 0.51533 \dots + 2 πn, x = 2 π - 0.51533 \dots + 2 πn

Degrees

x = 29.52626 \dots^{\circ} + 36 0^{\circ} n, x = 330.47373 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{67}{77}

Apply trig inverse properties

cos (x) = \frac{67}{77}

General solutions for

cos (x) = \frac{67}{77}

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

x = arccos (\frac{67}{77}) + 2 πn, x = 2 π - arccos (\frac{67}{77}) + 2 πn

x = arccos (\frac{67}{77}) + 2 πn, x = 2 π - arccos (\frac{67}{77}) + 2 πn

Show solutions in decimal form

x = 0.51533 \dots + 2 πn, x = 2 π - 0.51533 \dots + 2 πn

(sin (x) + cos (x))^{2} = \frac{1 + 2 sin ( x )}{sec ( x )}

cot (\frac{π}{3}) = tan (x)

3 cot (x) + 1 = 2 + 4 cot (x), 0^{\circ} \leq x \leq 36 0^{\circ}

sin (x) = \frac{48.35}{50.14}

2 tan (\frac{π x}{2}) = sec (\frac{π x}{2})

What is the general solution for cos(x)= 67/77 ?
The general solution for cos(x)= 67/77 is x=0.51533…+2pin,x=2pi-0.51533…+2pin