What is the general solution for -2=2cos(4t) ?

The general solution for -2=2cos(4t) is t= pi/4+(pin)/2

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-2=2cos(4t)

- 2 = 2 cos (4 t)

t = \frac{π}{4} + \frac{πn}{2}

Solution steps

- 2 = 2 cos (4 t)

Switch sides

2 cos (4 t) = - 2

Divide both sides by

2

cos (4 t) = - 1

General solutions for

cos (4 t) = - 1

4 t = π + 2 πn

Solve

4 t = π + 2 πn : t = \frac{π}{4} + \frac{πn}{2}

t = \frac{π}{4} + \frac{πn}{2}

tan (a) = \frac{4}{5}

tan (θ) = \frac{78.48}{196.2}

sec^{2} (x) - tan (x) = 1, 0 \leq x < 2 π

4 sin^{2} (x) + 4 cos (x) = 5

cot (θ) + 1 = 0, (0, 2 π)

What is the general solution for -2=2cos(4t) ?
The general solution for -2=2cos(4t) is t= pi/4+(pin)/2