What is the general solution for 0.5cos(x)=0 ?

The general solution for 0.5cos(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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Popular Trigonometry >

0.5cos(x)=0

Solution

0.5 cos (x) = 0

Solution

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

Degrees

x = 9 0^{\circ} + 36 0^{\circ} n, x = 27 0^{\circ} + 36 0^{\circ} n

Solution steps

0.5 cos (x) = 0

Multiply both sides by

10

0.5 cos (x) = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

0.5 cos (x) \cdot 10 = 0 \cdot 10

Refine

5 cos (x) = 0

5 cos (x) = 0

Divide both sides by

5

5 cos (x) = 0

Divide both sides by

5

\frac{5 cos ( x )}{5} = \frac{0}{5}

Simplify

cos (x) = 0

cos (x) = 0

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

Graph

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Frequently Asked Questions (FAQ)

What is the general solution for 0.5cos(x)=0 ?
The general solution for 0.5cos(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin