Compound and double angle formulae

Compound and double angle formulae Quiz

Spec 5.6 · Edexcel A-Level Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. Which expression equals cos⁡(A+B)\cos(A+B)?

    • A. cos⁡Acos⁡B+sin⁡Asin⁡B\cos A\cos B+\sin A\sin B
    • B. sin⁡Acos⁡B−cos⁡Asin⁡B\sin A\cos B-\cos A\sin B
    • C. cos⁡Acos⁡B−sin⁡Asin⁡B\cos A\cos B-\sin A\sin B
    • D. cos⁡A+cos⁡B\cos A+\cos B

  2. 2. Given sin⁡θ=13\sin\theta=\frac13, find cos⁡2θ\cos2\theta.

    • A. 29\frac29
    • B. −79-\frac79
    • C. 229\frac{2\sqrt2}{9}
    • D. 79\frac79

  3. 3. Find the exact value of cos⁡75∘cos⁡15∘−sin⁡75∘sin⁡15∘\cos75^\circ\cos15^\circ-\sin75^\circ\sin15^\circ.

    • A. 00
    • B. 11
    • C. 12\frac12
    • D. 32\frac{\sqrt3}{2}

  4. 4. Given tan⁡x=12\tan x=\frac12, find tan⁡2x\tan2x.

    • A. 11
    • B. 43\frac43
    • C. 34\frac34
    • D. 45\frac45

  5. 5. How many solutions has sin⁡2x=12\sin2x=\frac12 for 0≤x<360∘0\le x<360^\circ?

    • A. 22
    • B. 33
    • C. 44
    • D. 88

Quiz