Exercises for Question Type 4: Substituting simple values into equations to find exact answers

Question 1

Skill question

Evaluate $sin (\frac{π}{4}) + cos (\frac{π}{3})$ .

[2]

Question 2

Skill question

Evaluate $tan (\frac{π}{6}) - sin (\frac{π}{3})$ .

[3]

Question 3

Skill question

Evaluate $sin (\frac{3 π}{4}) cos (\frac{π}{6})$ .

[3]

Question 4

Skill question

Given $h (θ) = 5 sin θ + 3 cos θ$ , find $h (\frac{π}{2})$ .

[2]

Question 5

Skill question

Evaluate $tan (π /4) cot (π /6)$ .

[3]

Question 6

Skill question

Evaluate $cos (\frac{5 π}{6}) tan (\frac{π}{4})$ .

[3]

Question 7

Skill question

Evaluate $\frac{s i n ( π /3 )}{t a n ( π /6 )}$ .

[3]

Question 8

Skill question

Evaluate $sec (\frac{π}{3}) + csc (\frac{π}{6})$ .

[3]

Question 9

Skill question

Evaluate $sin^{2} (\frac{π}{6}) + cos^{2} (\frac{π}{3})$ .

[3]

Question 10

Skill question

Evaluate $sin (\frac{2 π}{3}) - cos (\frac{π}{2})$ .

[3]

IB Mathematics Analysis and Approaches Question Type 4: Substituting Simple Values Into Equations to Find Exact Answers Exercises