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Pure 1 course · All short practice · Notes & examples

Maths4U Original · 9709 Pure 1

Trigonometric terms in an arithmetic progression

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-SERIES-TRIG-ARITHMETIC-01

angles in AP

Maths4U Original · Short practice

Three angles \(20^\circ,\theta,80^\circ\) are in AP. Find \(\theta\) in degrees.

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

Method · M4U-P1-QP-SERIES-TRIG-ARITHMETIC-02

angle progression

Maths4U Original · Short practice

Angles form the AP \(15^\circ,25^\circ,35^\circ,\ldots\). Find the ninth angle in degrees.

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

Apply · M4U-P1-QP-SERIES-TRIG-ARITHMETIC-03

nonlinear transformation

Maths4U Original · Short practice

If angles form an AP, must their sine values also form an AP?

Choose one answer.

Your answer

Check understanding · M4U-P1-QP-SERIES-TRIG-ARITHMETIC-04

AP of trig values

Maths4U Original · Short practice

\(\sin30^\circ,k,\sin90^\circ\) are consecutive AP terms. Find \(k\).

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

Fresh review variant · M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-01

angles in AP

Maths4U Original · Short practice

The angles \(25^\circ,\theta,95^\circ\) are consecutive AP terms. Find theta in degrees.

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

Fresh review variant · M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-02

angle progression

Maths4U Original · Short practice

Angles form \(10^\circ,25^\circ,40^\circ,\ldots\). Find the seventh angle in degrees.

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

Fresh review variant · M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-03

nonlinear transformation

Maths4U Original · Short practice

The angles \(0^\circ,30^\circ,60^\circ\) are in AP. Find the difference between the sine of the second angle and the sine of the first.

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

Fresh review variant · M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-04

AP of trig values

Maths4U Original · Short practice

\(\sin0^\circ,k,\sin90^\circ\) are consecutive AP terms. Find k.

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

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