What is the general solution for cos(x)=0,5 ?

The general solution for cos(x)=0,5 is No Solution for x\in\mathbb{R}

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cos(x)=0,5

cos (x) = 0, 5

No Solution for x \in R

Solution steps

cos (x) = 0, 5

General solutions for

cos (x) = 0

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

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

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

Solutions for the range

5

No Solution for x \in R

25 cos^{2} (x) = 9

cos (x) = \frac{2}{29}

2 cos (\frac{x}{2}) = cos (x) + 1

cos (x) = 100

1.58 \cdot sin (3 4^{\circ}) = 1 (sin (θ))

What is the general solution for cos(x)=0,5 ?
The general solution for cos(x)=0,5 is No Solution for x\in\mathbb{R}