Exercises for Question Type 3: Rewriting equations to be in form of a quadratic - IB | RevisionDojo

IB
Question Type 3: Rewriting equations to be in form of a quadratic

Question Type 3: Rewriting equations to be in form of a quadratic Exercises

Written by official IB examiners

Question 1

Solve $1 - \sin 2x = \cos^2 x$ for $0 \le x \le \pi$ .

[6]

Question 2

Solve $\sin x + \sin 2x = 0$ for $0 \le x < 2\pi$ .

[4]

Question 3

Solve $\cos 2x + \cos x = 0$ for $0 \le x < 2\pi$ .

[5]

Question 4

Solve $3\sin 2x + 2\sin x = 0$ for $0 \le x < 2\pi$ .

[4]

Question 5

Solve $2\sec x = \tan^2 x + 1$ for $0 \le x < 2\pi$ .

[5]

Question 6

Solve $2\sin^2 x + 3\cos x - 1 = 0$ for $0 \le x < 2\pi$ .

[6]

Question 7

Solve $\sin x = \cos 2x$ for $0 \le x < 2\pi$ .

[5]

Question 8

Solve $1 + 2\cos x = 4\sin^2 x$ for $0 \le x < 2\pi$ .

[6]

Question 9

Solve $3\cos x - 1 = 2\cos^2 x$ for $0 \le x < 2\pi$ .

[4]

Question 10

Solve $2\cos 2x = \sin x + 1$ for $0 \le x < 2\pi$ .

[6]

Question 11

Solve $2\sin x = \cos 2x$ for $0 \le x < 2\pi$ .

[6]

Question 12

Solve $\sin 2x = 2\sin x$ for $0 \le x < 2\pi$ .

[4]