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Write down the definitions for quadrantal angles and coterminal angles

Question

Write down the definitions for quadrantal angles and coterminal angles

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Solution

Quadrantal Angles: These are angles whose terminal sides lie along the x and y axes. They are typically measured in degrees and are multiples of 90° (e.g., 90°, 180°, 270°, 360°) or in radians (π/2, π, 3π/2, 2π).

Coterminal Angles: Two angles in standard position are coterminal if they have the same terminal side. This means that they differ by an integer multiple of 360° or 2π radians. For example, the angles 30° and 390° are coterminal because 390° - 30° = 360°, which is a multiple of 360°. Similarly, the angles π/4 and 9π/4 are coterminal because 9π/4 - π/4 = 2π, which is a multiple of 2π.

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