If $\sin \,\,\theta - \cos \,\,\theta < 0$, then $\theta $ lies between

$n\;\pi - \frac{{3\pi }}{4}$ and $n\;\pi + \frac{\pi }{4},\,\;n \in Z$

$n\;\pi - \frac{\pi }{4}$ and $n\;\pi + \frac{{3\pi }}{4},\,\;n \in Z$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\sin \,\,\theta - \cos \,\,\theta < 0

, then

\theta

lies between

View answer and explanation

Correct option: D

2n\;\pi - \frac{{3\pi }}{4}

and

2n\;\pi + \frac{\pi }{4},\;\,n \in Z

Option A is correct because it represents the range of θ where sin(θ) - cos(θ) < 0, derived by transforming the inequality and solving for θ.

Practice All Chapter MCQs →

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