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Trigonometric Function
Course Material
Gyeongsang National University
Dept. of Information & Communication Engineering
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Degree and Radian
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Trigonometric Ratio
• Right-angled triangle ABC
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Trigonometric Ratio
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Trigonometric Ratio
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Trigonometric Function
• Sine and cosine functions
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Trigonometric Function
• Waveform modeling using sin(𝑡) and cos(𝑡)
– In engineering, waveform is commonly presented by time function – Amplitude – Maximum value of waveform from the average value:
𝐴sin(𝑡) – 2sin(𝑡)?
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Trigonometric Function
• Waveform modeling using sin(𝑡) and cos(𝑡)
– Angular frequency – change the period of the waveform: sin(𝜔𝑡)? – sin(2𝑡)?
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Trigonometric Function
• Waveform modeling using sin(𝑡) and cos(𝑡)
– Phase angle – shift the waveform in time: 𝐴sin(𝜔𝑡 + 𝜑) – sin(2𝑡 + 𝜋/3)?
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Trigonometric Function Formula
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Trigonometric Function Formula
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Trigonometric Function Formula
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Trigonometric Function Formula
• Euler’s formula
– Alternatives of Euler’s formula
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