PYQ Vault
EbooksTutor

Count solutions of a factored equation in sin t using its range

This type of question, asked 2 times: CDS 2 2023, CDS 1 2025. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2023

    29
    How many values of θ\theta will satisfy the equation (sin⁡2θ−4sin⁡θ+3)(4−cos⁡2θ+4sin⁡θ)=0(\sin^2\theta - 4\sin\theta + 3)(4 - \cos^2\theta + 4\sin\theta) = 0, where 0<θ<π20 < \theta < \dfrac{\pi}{2} ?

    Tap an option to check your answer.

  2. Question 2

    CDS 1 2025

    34
    For how many values of α\alpha does the expression (sin⁡α+2)(sin⁡α+4)(sin⁡α−2)(sin⁡α−4)(\sin\alpha + 2)(\sin\alpha + 4)(\sin\alpha - 2)(\sin\alpha - 4) become zero ?

    Tap an option to check your answer.