Trigonometric equations that become quadratics: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(2\sin^2x-\sin x-1=0\) on \(0^\circ\le x<360^\circ\).Choose one answer.
Trigonometric equations that become quadratics: check 2
Difficulty: ★★☆Info
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.
Trigonometric equations that become quadratics: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin x\cos x=0\) on \(0^\circ\le x<360^\circ\).Choose one answer.
Trigonometric equations that become quadratics: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
How many roots does \(\tan^2x=1\) have on \(\displaystyle - \frac{\pi }{2}< x< \frac{\pi }{2}\)?Enter one number or fraction. Round decimals to at least six decimal places when needed.
Trigonometric equations that become quadratics: check 5
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sqrt3\sin x=\cos x\) on \(0^\circ\le x<360^\circ\).Choose one answer.
Trigonometric equations that become quadratics: review variant 1
Difficulty: ★★☆Info
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.
Trigonometric equations that become quadratics: review variant 2
Difficulty: ★★☆Info
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.
Trigonometric equations that become quadratics: review variant 3
Difficulty: ★★☆Info
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.
Trigonometric equations that become quadratics: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
How many solutions does \(\tan^2x=0\) have on \(-\pi<x<\pi\)?Enter one number or fraction. Round decimals to at least six decimal places when needed.
Trigonometric equations that become quadratics: review variant 5
Difficulty: ★★☆Info
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.