find the principal solution of the equation
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Answer:but what is the equation ?
Step-by-step explanation:
The solutions lying between 0 to 2π or between 0° to 360° are called principal solutions.
Consider the equation 2 cos θ + 1 = 0 or cos θ = -1/2. This equation is clearly, satisfy by θ = 2π3, 4π3 etc. Since the trigonometric functions are periodic, therefore, if a trigonometric equation has a solution, it will have infinitely number of solutions. For example, θ = 2π3, 2π ± 2π3, 4π ± 2π3, ………… are solutions of 2 cos θ + 1 = 0. These solutions can be put together in compact form as 2nπ ± 2π3 where n is an integer. This solution is known as the general solution. Thus, a solution generalize by means of periodicity is known as the general solution.
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