The most general values of ${\rm{\theta }}$ satisfying $\tan \,\,{\rm{\theta }} + \tan \,\,\left( {\frac{{3\,\pi }}{4} + {\rm{\theta }}} \right) = 2$ ${\rm{is}}\,{\rm{/}}\,{\rm{are}}$

$2n\pi + \frac{\pi }{3},\;\,n \in I$

$2n\pi \,\, \pm \,\,\frac{\pi }{3},\;\,n \in I$

$2n\pi \,\, + \,\,{\left( { - 1} \right)^n}\,\,\frac{\pi }{3},\,\;n \in I$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The most general values of

\mathrm{\theta }

satisfying

\tan \,\,\mathrm{\theta } + \tan \,\,\left( {\frac{{3\,\pi }}{4} + \mathrm{\theta }} \right) = 2

\mathrm{is}\,\mathrm{/}\,\mathrm{are}

View answer and explanation

Correct option: A

n\pi \,\, \pm \,\,\frac{\pi }{3},\,\,n \in I

Option A (

n\pi \\; \pm \\; \frac{\pi }{{3}},\\;n \in I

) is correct because it represents the general solution of the trigonometric equation after simplification.