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Question

For how many values of α does the expression (sin α + 2)(sin α + 4)(sin α - 2)(sin α - 4) become zero?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

No value

Let the expression be equal to 0. (sin α + 2)(sin α + 4)(sin α - 2)(sin α - 4) = 0 This implies that sin α = 2, sin α = 4, sin α = -2, sin α = -4 Since the range of sin α is [-1, 1], there is no value of α for which the expression becomes zero.

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