Reduction Formula 4: Trigonometric Relations under Origin Symmetry
2020-03-14 02:33
This example demonstrates the 4th trigonometric reduction formula concerning origin symmetry. By constructing point P on the unit circle and its symmetric point P' with respect to the origin, it visually illustrates the geometric meaning of formulas such as sin(π+θ)=-sinθ, cos(π+θ)=-cosθ, and tan(π+θ)=tanθ. The Mirror command enables origin symmetry transformation, while sliders dynamically adjust
In collections
Secondary Vocational Mathematics
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<command name="CurveCartesian">
<input a0="(rp'(t) * cos(t))" a1="(rp'(t) * sin(t))" a2="t" a3="Min[0, 180° + theta]" a4="Max[0, 180° + theta]"/>
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<expression label="txtSins" exp=""\sin(" + (LaTeX[theta]) + ")=" + (LaTeX[sin(theta)]) + "\\
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<element type="text" label="txtSins">
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<expression label="txtTans" exp=""\tan(" + (LaTeX[theta]) + ")=" + (LaTeX[tan(theta)]) + "\\
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<element type="text" label="txtTans">
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<expression label="txtCoss" exp=""\cos(" + (LaTeX[theta]) + ")=" + (LaTeX[cos(theta)]) + "\\
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<element type="text" label="txtCoss">
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