Exercises for Question Type 1: Finding solutions to equations using specific equalities and identities

Question 1

Skill question

Solve $sin 2 x = 2 cos 2 x$ for $0 \leq x \leq π$ .

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Question 2

Skill question

Solve $2 sin 2 x = π cos x$ for $0 < x < \frac{π}{2}$ .

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Question 3

Skill question

Solve $sin 2 x = cos^{2} x$ for $0 \leq x \leq \frac{π}{2}$ .

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Question 4

Skill question

Solve $tan x + sec x = 2$ for $0 \leq x < 2 π$ .

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Question 5

Skill question

Solve $2 sin 2 x = cos x$ for $0 \leq x \leq \frac{π}{2}$ .

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Question 6

Skill question

Solve $2 sin 2 x + sin x = 0$ for $0 \leq x < 2 π$ .

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Question 7

Skill question

Solve the equation $2 sin 2 x = 3 π cos x$ for $0 < x < π$ .

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Question 8

Skill question

Solve $sin 2 x - cos 2 x = 1$ for $0 \leq x < 2 π$ .

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Question 9

Skill question

Solve $2 cos 2 x = sin x$ for $0 \leq x < 2 π$ .

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Question 10

Skill question

Solve $sin 2 x = cos x$ for $0 \leq x < 2 π$ .

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Question 11

Skill question

Solve $sin 2 x = \frac{π}{4}$ for $0 \leq x < 2 π$ .

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Question 12

Skill question

Solve $cos 2 x + 3 sin x = 1$ for $0 \leq x \leq 2 π$ .

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IB Mathematics Analysis and Approaches Question Type 1: Finding Solutions to Equations Using Specific Equalities and Identities Exercises