What is the general solution for cos(x)= 9/12 ?

The general solution for cos(x)= 9/12 is x=0.72273…+2pin,x=2pi-0.72273…+2pin

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cos(x)= 9/12

cos (x) = \frac{9}{12}

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

Solution steps

cos (x) = \frac{9}{12}

Cancel the common factor:

3

cos (x) = \frac{3}{4}

Apply trig inverse properties

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

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

cos (x) = - \frac{1}{6}

cos^{2} (x) + 5 sin^{2} (x) = 1

- 1 = - 4 sec (y) - sec^{2} (y) - 5

cos (X) = 0

What is the general solution for cos(x)= 9/12 ?
The general solution for cos(x)= 9/12 is x=0.72273…+2pin,x=2pi-0.72273…+2pin