Complementary Angle Identities (HSC SSCE Mathematics Advanced): Flashcards

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Complementary Angle Identities
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Complementary angles definition

Two angles that sum to 90°90°

sin(90°θ)\sin(90° - \theta) equals

cosθ\cos \theta

cos(90°θ)\cos(90° - \theta) equals

sinθ\sin \theta

tan(90°θ)\tan(90° - \theta) equals

cotθ\cot \theta

Cofunction of sine

Cosine

Alternative name for complementary angle identities

Cofunction identities

Angles where tanθ\tan \theta is undefined

θ=90°+180°n\theta = 90° + 180°n (where nn is integer)

Angles where cotθ\cot \theta is undefined

θ=180°n\theta = 180°n (where nn is integer)

Angles where cosec θ\text{cosec } \theta is undefined

θ=180°n\theta = 180°n (where nn is integer)

Pattern in complementary angle identities

Each function swaps with its cofunction

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