Non-Right-Angled Trigonometry (HSC SSCE Mathematics Standard): Quizzes

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Trigonometry with Obtuse Angles
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What is the range of obtuse angles?

90°90° to 180°180°

For acute angles, which trigonometric ratios are positive?

All three: sin⁡θ\sin \theta, cos⁡θ\cos \theta, tan⁡θ\tan \theta

Which trigonometric ratio stays positive for obtuse angles?

Only sin⁡θ\sin \theta

What is the sign of cos⁡θ\cos \theta for an obtuse angle?

Negative

What is the sign of tan⁡θ\tan \theta for an obtuse angle?

Negative

How does your calculator handle signs for obtuse angles?

Applies correct signs automatically

What sign should sin⁡164.25°\sin 164.25° have?

Positive

Which function finds an angle from cos⁡θ=−0.5178\cos \theta = -0.5178?

cos⁡−1\cos^{-1}

If tan⁡−1(−1.32)\tan^{-1}(-1.32) gives −52.85°-52.85°, how do you find the obtuse angle?

Add 180°180° to −52.85°-52.85°

What must you do when calculator gives a negative angle for tan⁡−1\tan^{-1}?

Add 180°180° to find obtuse angle

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