What is the general solution for cos(x+5)= 1/2 sqrt(3),0<= x<= 2pi ?

The general solution for cos(x+5)= 1/2 sqrt(3),0<= x<= 2pi is x=(11pi-30)/6 ,x=(13pi-30)/6

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cos(x+5)= 1/2 sqrt(3),0<= x<= 2pi

cos (x + 5) = \frac{1}{2} 3, 0 \leq x \leq 2 π

x = \frac{11 π - 30}{6}, x = \frac{13 π - 30}{6}

Solution steps

cos (x + 5) = \frac{1}{2} 3, 0 \leq x \leq 2 π

Simplify

\frac{1}{2} 3 : \frac{3}{2}

General solutions for

cos (x + 5) = \frac{3}{2}

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

Solve

x + 5 = \frac{π}{6} + 2 πn : x = \frac{π}{6} + 2 πn - 5

Solve

x + 5 = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{6} + 2 πn - 5

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

Solutions for the range

0 \leq x \leq 2 π

x = \frac{11 π - 30}{6}, x = \frac{13 π - 30}{6}

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

2 sec^{2} (x) + 3 sec (x) - 2 = 0

- 4 arctan (x) = π

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

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

What is the general solution for cos(x+5)= 1/2 sqrt(3),0<= x<= 2pi ?
The general solution for cos(x+5)= 1/2 sqrt(3),0<= x<= 2pi is x=(11pi-30)/6 ,x=(13pi-30)/6