Trigonometry with Obtuse Angles (HSC SSCE Mathematics Standard): Flashcards

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Trigonometry with Obtuse Angles
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Range of acute angles

0° to 90°

Range of obtuse angles

90° to 180°

Sign of sin⁡θ\sin \theta for obtuse angles

Positive

Sign of cos⁡θ\cos \theta for obtuse angles

Negative

Sign of tan⁡θ\tan \theta for obtuse angles

Negative

Signs of all trig ratios for acute angles

All positive

Trig ratio that stays positive for obtuse angles

Sine

How to find obtuse angle from negative cos⁡\cos or tan⁡\tan ratio

Add 180° to negative calculator result

Calculator handling of signs for obtuse angles

Automatic - no manual adjustment needed

Valid range for an obtuse angle

Between 90° and 180°

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Non-Right-Angled Trigonometry

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Rates and Ratios

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