Related Angles and Identities (HSC SSCE Mathematics Advanced): Flashcards

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Related Angles and Identities
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Related angle (reference angle) definition

Acute angle between terminal ray and x-axis on unit circle

ASTC rule purpose

Shows which trig functions are positive in each quadrant

Related angle formula for Quadrant 2

180°−θ180° - \theta

Related angle formula for Quadrant 4

360°−θ360° - \theta

Which trig function positive in Quadrant 2 (ASTC)?

Sine

Which trig function positive in Quadrant 3 (ASTC)?

Tangent

sin⁡(180°−A)\sin(180° - A) equals

sin⁡A\sin A

cos⁡(360°−A)\cos(360° - A) equals

cos⁡A\cos A

sin⁡(−θ)\sin(-\theta) identity

−sin⁡θ-\sin \theta

cos⁡(−θ)\cos(-\theta) identity

cos⁡θ\cos \theta

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