PYQ Vault

Product of cosines of doubling angles (multiply and divide by sin)

This type of question, asked 2 times: 15 Apr 2026 S2, 15 May 2026 S1. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    15 Apr 2026 S2

    56
    If 33θ=π33\theta = \pi, then the value of cos⁡θcos⁡2θcos⁡4θcos⁡8θcos⁡16θ\cos\theta\cos 2\theta\cos 4\theta\cos 8\theta\cos 16\theta is

    Tap an option to check your answer.

  2. Question 2

    15 May 2026 S1

    52
    The value of the expression cos⁡(π24)cos⁡(π12)cos⁡(π6)cos⁡(π3)\cos\left(\dfrac{\pi}{24}\right)\cos\left(\dfrac{\pi}{12}\right)\cos\left(\dfrac{\pi}{6}\right)\cos\left(\dfrac{\pi}{3}\right) is:

    Tap an option to check your answer.