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°0° and 90°90°

sin⁡(90°−θ)\sin(90° - \theta) equals

cos⁡θ\cos \theta

cos⁡(90°−θ)\cos(90° - \theta) equals

sin⁡θ\sin \theta

tan⁡(90°−θ)\tan(90° - \theta) equals

cot⁡θ\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 sin⁡30°\sin 30°

12\frac{1}{2}

Exact value of cos⁡30°\cos 30°

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

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