Math Problem Statement
gambarlah grafik fungsi y = 2 sin x-3 dan y = 2 cos x - 3 untuk 0 derajat kurang dari samadengan x kurang dari samadengan 360 derajat pada satu bidang koordinat
Solution
Here is the graph showing the two functions:
- y = 2sin(x) - 3 in red
- y = 2cos(x) - 3 in blue
Both functions are plotted on the interval from 0° to 360°.
Would you like further details on how to interpret or analyze these graphs? Let me know if you have any other questions!
Here are five related questions you could explore:
- How do phase shifts affect the graphs of sine and cosine functions?
- What is the impact of changing the amplitude in sinusoidal functions?
- How can we find the period of the functions y = 2sin(x) - 3 and y = 2cos(x) - 3?
- What happens if the vertical shift is changed to a different value, like -2 or -4?
- How can we determine the maximum and minimum values for these functions?
Tip: To analyze sinusoidal functions, always look at their amplitude (stretching factor), period (frequency), phase shift (horizontal shift), and vertical shift, as they define the shape and position of the graph.
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Math Problem Analysis
Mathematical Concepts
Trigonometric Functions
Graphing
Sine and Cosine Functions
Formulas
y = 2sin(x) - 3
y = 2cos(x) - 3
Theorems
Graphing of Sinusoidal Functions
Amplitude, Period, Phase Shift, and Vertical Shift
Suitable Grade Level
Grades 10-12
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