2025 · Q34
For how many values of α does the expression (sin α + 2)(sin α + 4)(sin α − 2)(sin α − 4) become zero?
Elementary MathematicsTrigonometry
- ANo value
- BOne
- CTwo
- DFour
Explanation
The product is zero only if sinα ∈ {−2, −4, 2, 4}, but |sinα| ≤ 1 for all real α. Hence no value of α makes the expression zero, option (a).