What is the general solution for cos(x)= 6/10 ?

The general solution for cos(x)= 6/10 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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cos(x)= 6/10

cos (x) = \frac{6}{10}

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Degrees

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{6}{10}

Cancel the common factor:

2

cos (x) = \frac{3}{5}

Apply trig inverse properties

cos (x) = \frac{3}{5}

General solutions for

cos (x) = \frac{3}{5}

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

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

sec^{2} (x) - 2 tan^{2} (x) = \frac{2}{3}

cos^{2} (x) - 3 cos (x) - 1 = 0

cos (3 x) = - sin (x + \frac{π}{6})

sin (θ) = \frac{7}{10}

tan (5 x) = 1

What is the general solution for cos(x)= 6/10 ?
The general solution for cos(x)= 6/10 is x=0.92729…+2pin,x=2pi-0.92729…+2pin