Reduction Formula (Grade 11 NSC Matric Mathematics): Flashcards

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Reduction Formula
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Reduction formulae definition

Rules for trig functions of compound angles in terms of θ\theta

sin⁡(180°−θ)\sin(180° - \theta)

sin⁡θ\sin \theta

cos⁡(180°−θ)\cos(180° - \theta)

−cos⁡θ-\cos \theta

sin⁡(180°+θ)\sin(180° + \theta)

−sin⁡θ-\sin \theta

tan⁡(180°+θ)\tan(180° + \theta)

tan⁡θ\tan \theta

sin⁡(360°−θ)\sin(360° - \theta)

−sin⁡θ-\sin \theta

cos⁡(360°−θ)\cos(360° - \theta)

cos⁡θ\cos \theta

Co-functions definition

Trig pairs equal when arguments are complementary angles

sin⁡(90°−θ)\sin(90° - \theta)

cos⁡θ\cos \theta

When does function change to co-function?

For 90°±θ90° ± \theta or θ±90°\theta ± 90°

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