Math Problem Statement
gambarkan grafik fungsi y = 2 cos (x+30)
Solution
Here is the graph of the function . As you can see, the cosine curve has an amplitude of 2, and there is a phase shift of 30° to the left due to the "+30" inside the cosine function.
If you would like further details or explanations about the graph, feel free to ask!
Here are five related questions you might find interesting:
- How does the phase shift in a cosine function affect its graph?
- What is the general form of a cosine function, and how do different parameters like amplitude, period, and phase shift affect it?
- How do you graph a cosine function from its equation step by step?
- How does the period of a cosine function change when its coefficient is altered?
- What is the relationship between radians and degrees on the x-axis of a trigonometric graph?
Tip: When graphing trigonometric functions, always start by identifying the amplitude, phase shift, and period to sketch the general shape before fine-tuning the details.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Cosine Function
Graphing Trigonometric Functions
Formulas
y = A cos(x + φ)
Amplitude = 2
Phase Shift = -30°
Theorems
Properties of cosine function: Amplitude, Period, and Phase Shift
Suitable Grade Level
Grades 9-11