Question

cos^2 theta = 1/4
find the general solution!.​

Answer 1

Answer:

Ф = 2nπ ± π/3        ;         Ф = 2nπ ± 2π/3

Step-by-step explanation:

    cos²Ф = 1/4                               hence , α = π/3

or, cos Ф = ±1/2                                      or, α = π-(π/3) = 2π/3

or, cos Ф = ±cos π/3 = cos α

Hence the general solution will be ;

                        Ф = 2nπ ± π/3

                 or,   Ф = 2nπ ± 2π/3

where Ф denotes theta