Discussion questions
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Rearrange an exponential fraction · Complete the square · +4 more
Section 2 · Questions 7–12
Rationalise a surd denominator · Simplify fractional indices · +4 more
Section 3 · Questions 13–18
Recover cosine from inverse sine · Prove a fourth-power trigonometric identity · +4 more
- Question 13 · Recover cosine from inverse sine
- Question 14 · Prove a fourth-power trigonometric identity
- Question 15 · Combine sine and cosine to prove bounds
- Question 16 · Differentiate a square-root quotient
- Question 17 · Differentiate a polynomial-logarithm product
- Question 18 · Integrate a squared linear term and cosine