Final Answer:
Within the interval (0°
x < 360°), there are multiple angles that satisfy the given trigonometric equation, indicating the presence of more than one solution.
Thus the correct option is c) Multiple solutions exist
Step-by-step explanation:
In trigonometry, solutions to equations often involve angles and can be expressed in degrees. The given question refers to the interval (0°
x < 360°), indicating a full rotation or one complete revolution around a circle. The presence of multiple solutions within this interval implies that there are different angles satisfying the given equation.
Now, to elaborate, consider a trigonometric equation such as (sin(x) = sin(y). In the specified interval, (0°
x < 360°), there may be more than one angle (x) that satisfies this equation. This is due to the periodic nature of trigonometric functions. For example, (sin(30°) = sin(390°), and both are solutions within the given interval.
To determine the exact solutions, further information about the specific trigonometric equation is needed. Without the equation or conditions, we cannot provide the precise values for (x). Therefore, the answer is not a), b), or d), but c) – multiple solutions exist within the specified interval.
In conclusion, the presence of multiple solutions in the given interval underscores the importance of additional details when dealing with trigonometric equations. Without the specific equation or constraints, a definitive answer in terms of numerical values cannot be provided, highlighting the need for complete information to solve such problems accurately.
Therefore, the correct option is c) Multiple solutions exist.