What is the general solution for cos(x)= 13/20 ?

The general solution for cos(x)= 13/20 is x=0.86321…+2pin,x=2pi-0.86321…+2pin

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cos(x)= 13/20

cos (x) = \frac{13}{20}

x = 0.86321 \dots + 2 πn, x = 2 π - 0.86321 \dots + 2 πn

Solution steps

cos (x) = \frac{13}{20}

Apply trig inverse properties

x = arccos (\frac{13}{20}) + 2 πn, x = 2 π - arccos (\frac{13}{20}) + 2 πn

Show solutions in decimal form

x = 0.86321 \dots + 2 πn, x = 2 π - 0.86321 \dots + 2 πn

sin^{2} (x) = 3 cos (x)

2 sin^{2} (x) + sin (x) = 1, 0 \leq x < 2 π

cos (\frac{7 π}{8} - x) = \frac{2}{2}

5 sin^{2} (x) + 3 sin (x) = 2

5 tan (2 x) - 5 cot (x) = 0

What is the general solution for cos(x)= 13/20 ?
The general solution for cos(x)= 13/20 is x=0.86321…+2pin,x=2pi-0.86321…+2pin