What is the general solution for cos(x)= 6/11 ?

The general solution for cos(x)= 6/11 is x=0.99386…+2pin,x=2pi-0.99386…+2pin

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cos(x)= 6/11

cos (x) = \frac{6}{11}

x = 0.99386 \dots + 2 πn, x = 2 π - 0.99386 \dots + 2 πn

Solution steps

cos (x) = \frac{6}{11}

Apply trig inverse properties

x = arccos (\frac{6}{11}) + 2 πn, x = 2 π - arccos (\frac{6}{11}) + 2 πn

Show solutions in decimal form

x = 0.99386 \dots + 2 πn, x = 2 π - 0.99386 \dots + 2 πn

3 cos^{2} (x) + 5 sin (x) - 1 = 0

2 cos^{2} (θ) = 7 cos (θ) - 3

sin (θ) = (\frac{173}{210})

\frac{3 tan ^{2} ( x ) - 5}{cos ( x ) + 1} = 0

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 2 π

What is the general solution for cos(x)= 6/11 ?
The general solution for cos(x)= 6/11 is x=0.99386…+2pin,x=2pi-0.99386…+2pin