What is the general solution for 2cos(x)+3=2 ?

The general solution for 2cos(x)+3=2 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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2cos(x)+3=2

2 cos (x) + 3 = 2

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

2 cos (x) + 3 = 2

Move

3

to the right side

2 cos (x) = - 1

Divide both sides by

2

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

General solutions for

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

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

6 sin^{2} (x) = 3

tan (x) cot (x) = csc (x) sec (x)

cos (A) = \frac{3}{5}

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

arctan (2 x) + arctan (x) = \frac{π}{2}

What is the general solution for 2cos(x)+3=2 ?
The general solution for 2cos(x)+3=2 is x=(2pi)/3+2pin,x=(4pi)/3+2pin