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Practice — Trigonometry • Further trigonometric equations(quadratic))

Trigonometric equations that become quadratics: check 1
Difficulty: ★★☆
2317 • M4U-P1-QP-TRIGONOMETRY-QUADRATIC-EQUATIONS-01

Maths4U Original · Short practice

Solve \(2\sin^2x-\sin x-1=0\) on \(0^\circ\le x<360^\circ\).

Choose one answer.

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Trigonometric equations that become quadratics: check 2
Difficulty: ★★☆
2318 • M4U-P1-QP-TRIGONOMETRY-QUADRATIC-EQUATIONS-02

Maths4U Original · Short practice

How many roots does \(\cos^2x-3\cos x+2=0\) have for \(0\le x<2\pi\)?

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

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Trigonometric equations that become quadratics: check 3
Difficulty: ★★☆
2319 • M4U-P1-QP-TRIGONOMETRY-QUADRATIC-EQUATIONS-03

Maths4U Original · Short practice

Solve \(\sin x\cos x=0\) on \(0^\circ\le x<360^\circ\).

Choose one answer.

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Trigonometric equations that become quadratics: check 4
Difficulty: ★★☆
2320 • M4U-P1-QP-TRIGONOMETRY-QUADRATIC-EQUATIONS-04

Maths4U Original · Short practice

How many roots does \(\tan^2x=1\) have on \(-\pi/2Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Trigonometric equations that become quadratics: check 5
Difficulty: ★★☆
2425 • M4U-P1-QP-TRIGONOMETRY-QUADRATIC-EQUATIONS-05

Maths4U Original · Short practice

Solve \(\sqrt3\sin x=\cos x\) on \(0^\circ\le x<360^\circ\).

Choose one answer.

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Trigonometric equations that become quadratics: review variant 1
Difficulty: ★★☆
2530 • M4U-P1-QP-VAR-TRIGONOMETRY-QUADRATIC-EQUATIONS-01

Maths4U Original · Short practice

How many solutions does \(2\sin^2x+\sin x-1=0\) have on \(0^\circ\le x<360^\circ\)?

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

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Trigonometric equations that become quadratics: review variant 2
Difficulty: ★★☆
2531 • M4U-P1-QP-VAR-TRIGONOMETRY-QUADRATIC-EQUATIONS-02

Maths4U Original · Short practice

How many solutions does \(2\cos^2x-\cos x-1=0\) have on \(0\le x<2\pi\)?

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

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Trigonometric equations that become quadratics: review variant 3
Difficulty: ★★☆
2532 • M4U-P1-QP-VAR-TRIGONOMETRY-QUADRATIC-EQUATIONS-03

Maths4U Original · Short practice

How many roots does \(\sin x\cos x=0\) have on \(0^\circ\le x\le360^\circ\)?

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

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Trigonometric equations that become quadratics: review variant 4
Difficulty: ★★☆
2533 • M4U-P1-QP-VAR-TRIGONOMETRY-QUADRATIC-EQUATIONS-04

Maths4U Original · Short practice

How many solutions does \(\tan^2x=0\) have on \(-\piEnter one number or fraction. Round decimals to at least six decimal places when needed.

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Trigonometric equations that become quadratics: review variant 5
Difficulty: ★★☆
2534 • M4U-P1-QP-VAR-TRIGONOMETRY-QUADRATIC-EQUATIONS-05

Maths4U Original · Short practice

How many solutions does \(\sin x=\sqrt3\cos x\) have on \(0^\circ\le x<360^\circ\)?

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

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