What is the general solution for cos(x)= 5/15 ?

The general solution for cos(x)= 5/15 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

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cos(x)= 5/15

cos (x) = \frac{5}{15}

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Solution steps

cos (x) = \frac{5}{15}

Cancel the common factor:

5

cos (x) = \frac{1}{3}

Apply trig inverse properties

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

cos (θ) = \frac{3}{5}, 0 < θ < \frac{π}{2}

sin (x) - cos^{2} (x) sin (x) = - 1

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

(cot (θ) + 1) (csc (θ) - \frac{1}{2}) = 0

tan^{2} (x) = 1 + sec^{2} (x)

What is the general solution for cos(x)= 5/15 ?
The general solution for cos(x)= 5/15 is x=1.23095…+2pin,x=2pi-1.23095…+2pin