What is the general solution for cos(x)= 12/20 ?

The general solution for cos(x)= 12/20 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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cos(x)= 12/20

cos (x) = \frac{12}{20}

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

Solution steps

cos (x) = \frac{12}{20}

Cancel the common factor:

4

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

Apply trig inverse properties

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

tan (θ) = \frac{0}{1}

cos (θ) = - 0.4

tan (φ) = 3

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

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

What is the general solution for cos(x)= 12/20 ?
The general solution for cos(x)= 12/20 is x=0.92729…+2pin,x=2pi-0.92729…+2pin