What is the general solution for cos(a)=1 ?

The general solution for cos(a)=1 is a=2pin

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cos(a)=1

cos (a) = 1

a = 2 πn

Degrees

a = 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = 1

General solutions for

cos (a) = 1

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 = 0 + 2 πn

a = 0 + 2 πn

Solve

a = 0 + 2 πn : a = 2 πn

a = 0 + 2 πn

0 + 2 πn = 2 πn

a = 2 πn

a = 2 πn

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

sec (θ) = \frac{7}{5}

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

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

8 cos (x) - 42 = 0

What is the general solution for cos(a)=1 ?
The general solution for cos(a)=1 is a=2pin