What is the general solution for cos(0.5x)=0.5,-pi<= x<= pi ?

The general solution for cos(0.5x)=0.5,-pi<= x<= pi is x=(2pi)/3 ,x=-(2pi)/3

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cos(0.5x)=0.5,-pi<= x<= pi

cos (0.5 x) = 0.5, - π \leq x \leq π

x = \frac{2 π}{3}, x = - \frac{2 π}{3}

Solution steps

cos (0.5 x) = 0.5, - π \leq x \leq π

General solutions for

cos (0.5 x) = 0.5

0.5 x = \frac{π}{3} + 2 πn, 0.5 x = \frac{5 π}{3} + 2 πn

Solve

0.5 x = \frac{π}{3} + 2 πn : x = \frac{2 π}{3} + 4 πn

Solve

0.5 x = \frac{5 π}{3} + 2 πn : x = \frac{10 π}{3} + 4 πn

x = \frac{2 π}{3} + 4 πn, x = \frac{10 π}{3} + 4 πn

Solutions for the range

- π \leq x \leq π

x = \frac{2 π}{3}, x = - \frac{2 π}{3}

0.5 cos (x) = cos (x)

tan (a) = - \frac{1}{2}

sin (2 x + 3 0^{\circ}) = - \frac{3}{2}

8 tan^{2} (θ) - 1 = 7 tan (θ)

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

What is the general solution for cos(0.5x)=0.5,-pi<= x<= pi ?
The general solution for cos(0.5x)=0.5,-pi<= x<= pi is x=(2pi)/3 ,x=-(2pi)/3