What is the general solution for 16cos^2(x)=12 ?

The general solution for 16cos^2(x)=12 is x= pi/6+2pin,x=(11pi)/6+2pin,x=(5pi)/6+2pin,x=(7pi)/6+2pin

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16cos^2(x)=12

16 cos^{2} (x) = 12

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

Solution steps

16 cos^{2} (x) = 12

Solve by substitution

cos (x) = \frac{3}{2}, cos (x) = - \frac{3}{2}

cos (x) = \frac{3}{2} : x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

cos (x) = - \frac{3}{2} : x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

Combine all the solutions

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

sin (2 x) = 0.4

sin (x) = - 0.4

θ, 3 cos (θ) = 1 + cos (θ)

tan (a) = \frac{5}{12}, sin (a) < 0, sin (a) + cos (a)

cot (2 x) = 3, 0 \leq x \leq 2 π

What is the general solution for 16cos^2(x)=12 ?
The general solution for 16cos^2(x)=12 is x= pi/6+2pin,x=(11pi)/6+2pin,x=(5pi)/6+2pin,x=(7pi)/6+2pin