Reduction Formula (Grade 11 NSC Matric Mathematics): Quizzes

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Reduction Formula
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What do reduction formulae allow us to do?

Express trig functions of compound angles in terms of θθ

What is sin⁡(180°−θ)\sin(180° - θ) equal to?

sin⁡θ\sin θ

What is tan⁡(180°+θ)\tan(180° + θ) equal to?

tan⁡θ\tan θ

What is cos⁡(360°−θ)\cos(360° - θ) equal to?

cos⁡θ\cos θ

What is sin⁡(360°+θ)\sin(360° + θ) equal to?

sin⁡θ\sin θ

What are co-functions?

Trig functions equal when arguments are complementary

What is cos⁡(90°−θ)\cos(90° - θ) equal to?

sin⁡θ\sin θ

What is cos⁡(90°+θ)\cos(90° + θ) equal to?

−sin⁡θ-\sin θ

When does a trig function change to its co-function?

When determining values of 90°±θ90° ± θ or θ±90°θ ± 90°

What is the symmetry property for 180°+θ180° + θ?

Symmetrical about the origin

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