Question

Suppose θ=π/2is the only solution of a trigonometric equation in the interval 0≤0<2π. Assuming a period of 2π, which of the following formulas gives all solutions of the equations,where k integer?Choose the correct answer below

A. θ= π /2+kπ
B. θ= kπ/2
c. θ= (π +kπ)/2
D. θ= π /2+2kπ

Answer 1

The correct formula for all solutions of the given trigonometric equation, with a period of 2π, is θ = π/2 + kπ.

Step-by-step explanation:

The trigonometric equation θ = π/2 has only one solution in the interval 0 ≤ θ < 2π. Since the equation has a period of 2π, we need to find a formula that gives all solutions. The correct formula is θ = π/2 + kπ, where k is an integer.