What is the general solution for cos(x)= 5/20 ?

The general solution for cos(x)= 5/20 is x=1.31811…+2pin,x=2pi-1.31811…+2pin

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cos(x)= 5/20

cos (x) = \frac{5}{20}

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

Solution steps

cos (x) = \frac{5}{20}

Cancel the common factor:

5

cos (x) = \frac{1}{4}

Apply trig inverse properties

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

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

sin (x) - 3 cos (x) = 1, 0 \leq x \leq 2 π

arccos (θ) = \frac{5}{7}

cos (θ) = \frac{- 139}{160}

sin (4 x) = \frac{2}{2}

What is the general solution for cos(x)= 5/20 ?
The general solution for cos(x)= 5/20 is x=1.31811…+2pin,x=2pi-1.31811…+2pin