What is the general solution for cos(4x)=(-1)/2 ?

The general solution for cos(4x)=(-1)/2 is x= pi/6+(pin)/2 ,x= pi/3+(pin)/2

Popular >

cos(4x)=(-1)/2

cos (4 x) = \frac{- 1}{2}

x = \frac{π}{6} + \frac{πn}{2}, x = \frac{π}{3} + \frac{πn}{2}

Solution steps

cos (4 x) = \frac{- 1}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

cos (4 x) = - \frac{1}{2}

General solutions for

cos (4 x) = - \frac{1}{2}

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

Solve

4 x = \frac{2 π}{3} + 2 πn : x = \frac{π}{6} + \frac{πn}{2}

Solve

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

x = \frac{π}{6} + \frac{πn}{2}, x = \frac{π}{3} + \frac{πn}{2}

2 cos (2 x) + sin (x) = 1

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

cos^{2} (a) = \frac{1}{2}

2 sin^{2} (x) + 3 sin (x) + 1 = 0, 0 \leq x < 2 π

cos (15 θ) = 0

What is the general solution for cos(4x)=(-1)/2 ?
The general solution for cos(4x)=(-1)/2 is x= pi/6+(pin)/2 ,x= pi/3+(pin)/2