JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The most general value of

\theta

satisfying

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

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because solving the trigonometric equation leads to

\tan^2 \theta = 3

, which gives the general solution

\theta = n\pi \pm \frac{\pi}{3}

More Questions from TRIGONOMETRIC EQUATIONS

Practice All Chapter MCQs →

\sin \,\,x\,\,\;cos\,\,3x = \sin \,\,3x\,\,\cos \,\,5x

\left[ {0,\;\,\frac{\pi }{2}} \right]

\left( {x,\,y} \right)

x,\,\,y \in \left[ {0,10} \right]

\left( {\sqrt {{{\sin }^2} - \sin \,\,x + \frac{1}{2}} } \right){2^{{{\sec }^2}y}}\,\, \cdot \,\, \le 1

\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

\sin x+\cos x=\frac{\sqrt{7}}{2}

x \in\left[0, \frac{\pi}{4}\right]

\tan \frac{x}{2}

\tan \frac{\pi}{5}+2 \tan \frac{2 \pi}{5}+4 \cot \frac{4 \pi}{5}

0 < x < \pi

\cos x+\sin x=\frac{1}{2}

\tan x