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Principal solutions of a basic trig equation

This type of question, asked 3 times: 2 May 2023 S1, 25 Apr 2025 S1, 11 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    2 May 2023 S1

    122
    The principal solutions of the equation 3sec⁡x+2=0\sqrt{3}\sec x + 2 = 0 are

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  2. Question 2

    25 Apr 2025 S1

    115
    The principal solution of (5+3sin⁡θ)(2cos⁡θ+1)=0(5 + 3\sin\theta)(2\cos\theta+ 1) = 0 are

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  3. Question 3

    11 Apr 2026 S1

    55
    The principal solutions of csc⁡(θ)=−2\mathrm{\csc}(\theta) = -2 are...

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