What is the general solution for 1/2*cos(a)=0 ?

The general solution for 1/2*cos(a)=0 is a= pi/2+2pin,a=(3pi)/2+2pin

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1/2*cos(a)=0

\frac{1}{2} \cdot cos (a) = 0

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

Degrees

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

Solution steps

\frac{1}{2} cos (a) = 0

Multiply both sides by

2

\frac{1}{2} cos (a) = 0

Multiply both sides by

2

2 \cdot \frac{1}{2} cos (a) = 0 \cdot 2

Simplify

cos (a) = 0

cos (a) = 0

General solutions for

cos (a) = 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}

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

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

94. 5^{2} = 6 0^{2} + 5 0^{2} + 6000 cos (θ)

cos (a) = 5

sin (7 x) - sin (x) = 0

2 cos (θ) + 5 = 4

- 3 = 23 cos (x)

What is the general solution for 1/2*cos(a)=0 ?
The general solution for 1/2*cos(a)=0 is a= pi/2+2pin,a=(3pi)/2+2pin