JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Which one of the following equations has no solution ?

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Correct option: B

\mathrm{cosec}\;\,\theta .\sec \,\,\theta = 1

The correct answer is B (

\mathrm{cosec}\;\,\theta .\sec \,\,\theta = 1

) because it leads to sin θ cos θ = 1, which implies sin 2θ = 2, which is impossible since the range of sine function is [-1, 1].

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