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Pure 1 course · All short practice · Notes & examples

Maths4U Original · 9709 Pure 1

Exact values, quadrants and general angles

Check a short answer, use a hint, then study the reasoning. These checks assess the final answer; use the exam-style problems to practise written explanations.

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Recall · M4U-P1-QP-TRIGONOMETRY-RATIOS-01

exact related angle

Maths4U Original · Short practice

Find \(\cos120^\circ\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Method · M4U-P1-QP-TRIGONOMETRY-RATIOS-02

periodic ratio

Maths4U Original · Short practice

Find \(\tan225^\circ\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Apply · M4U-P1-QP-TRIGONOMETRY-RATIOS-03

identity plus sign

Maths4U Original · Short practice

If \(\sin\theta=3/5\) and \(90^\circ<\theta<180^\circ\), find \(\cos\theta\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Check understanding · M4U-P1-QP-TRIGONOMETRY-RATIOS-04

exact radians

Maths4U Original · Short practice

Which equals \(\sin(5\pi/3)\)?

Choose one answer.

Your answer

Fresh review variant · M4U-P1-QP-VAR-TRIGONOMETRY-RATIOS-01

exact related angle

Maths4U Original · Short practice

Find \(\cos180^\circ\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-TRIGONOMETRY-RATIOS-02

periodic ratio

Maths4U Original · Short practice

Find \(\tan135^\circ\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-TRIGONOMETRY-RATIOS-03

identity plus sign

Maths4U Original · Short practice

If \(\sin\theta=-5/13\) in quadrant III, find \(\cos\theta\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-TRIGONOMETRY-RATIOS-04

exact radians

Maths4U Original · Short practice

Find \(2\sin(7\pi/6)\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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