Evaluate Expressions with Identities (HSC SSCE Mathematics Advanced): Flashcards

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Evaluate Expressions with Identities
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Acute angles range

Between 0° and 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

Definition of reference angle

Acute angle formed with the xx-axis

Positive trig functions in Quadrant 2

Only sin\sin and cosec\text{cosec}

Positive trig functions in Quadrant 3

Only tan\tan and cot\cot

Positive trig functions in Quadrant 4

Only cos\cos and sec\sec

Exact value of sin30°\sin 30°

12\frac{1}{2}

Exact value of cos30°\cos 30°

32\frac{\sqrt{3}}{2}

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