◈ Oracle PrepSign Up Free
A-LevelMathematicsTrigonometry9709/21 · Oct/Nov 2023 · Q13 Marks

It is given that θ is an acute angle in degrees such that sin θ = 3/5. Find the exact value of sin(θ + 60°).

  1. (a)Find the exact value of sin(θ + 60°).[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [B1] State or imply that cosθ = 4/5 or exact equivalent.
  2. [M1] Substitute appropriate values into sinθcos60°+ cosθsin60°
  3. [A1] Obtain 3/10 + 2√3/5 or exact equivalent.

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Trigonometry, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2023 Paper 2 Variant 1, question 1.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Mathematics questions

TrigonometryFeb/Mar 20227m

Show that sin 2θ cot θ – cos 2θ = 1.

TrigonometryFeb/Mar 20226m

The angles α and β lie between 0° and 180° and are such that tan(α + β) = 2 and tan α = 3 tan β.

TrigonometryFeb/Mar 20238m

By first obtaining a quadratic equation in cos θ, solve the equation tan θ sin θ = 1 for 0° < θ < 360°.

FunctionsFeb/Mar 201710m

The functions f and g are defined for x ≥ 0 by f : x → 2x² + 3, g: x → 3x + 2.

DifferentiationFeb/Mar 201711m

The point A (2, 2) lies on the curve y = x² – 2x + 2.

Logarithmic and exponential functionsFeb/Mar 20175m

Solve the equation 2 ln(2x) – ln(x + 3) = ln(3x + 5).

← Browse all past-paper questions

© 2026 Oracle Prep