Math Problem Statement

gambarkan grafik fungsi y = 2 cos (x+30)

Solution

Here is the graph of the function y=2cos(x+30)y = 2 \cos(x + 30^\circ). 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:

  1. How does the phase shift in a cosine function affect its graph?
  2. What is the general form of a cosine function, and how do different parameters like amplitude, period, and phase shift affect it?
  3. How do you graph a cosine function from its equation step by step?
  4. How does the period of a cosine function change when its coefficient is altered?
  5. 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