IdentitiesHardQuestion 200016
Question
The value of cos 20° cos 40° cos 80° is:
- A1/4
- B1/8Correct
- C1/2
- D√3/8
Correct answer
1/8
Explanation
Using the identity: cos θ cos(60°−θ) cos(60°+θ) = cos(3θ)/4. With θ = 20°: cos 20° cos 40° cos 80° = cos 60°/4 = (1/2)/4 = 1/8.