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Practice — Series • Trigonometric Arithmetic Progression

Trigonometric terms in an arithmetic progression: check 1
Difficulty: ★★☆
2329
Info
M4U-P1-QP-SERIES-TRIG-ARITHMETIC-01

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.

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Trigonometric terms in an arithmetic progression: check 2
Difficulty: ★★☆
2330
Info
M4U-P1-QP-SERIES-TRIG-ARITHMETIC-02

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.

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Trigonometric terms in an arithmetic progression: check 3
Difficulty: ★★☆
2331
Info
M4U-P1-QP-SERIES-TRIG-ARITHMETIC-03

Maths4U Original · Short practice

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

Choose one answer.

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Trigonometric terms in an arithmetic progression: check 4
Difficulty: ★★☆
2332
Info
M4U-P1-QP-SERIES-TRIG-ARITHMETIC-04

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.

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Trigonometric terms in an arithmetic progression: review variant 1
Difficulty: ★★☆
2543
Info
M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-01

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.

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Trigonometric terms in an arithmetic progression: review variant 2
Difficulty: ★★☆
2544
Info
M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-02

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.

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Trigonometric terms in an arithmetic progression: review variant 3
Difficulty: ★★☆
2545
Info
M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-03

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.

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Trigonometric terms in an arithmetic progression: review variant 4
Difficulty: ★★☆
2546
Info
M4U-P1-QP-VAR-SERIES-TRIG-ARITHMETIC-04

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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