JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Medium

1 of 1

Application +4 | -1

2 \sin \theta-1=0

and

2 \cos \theta+\sqrt{3}=

0 then genrate value of

\theta

are given by

View answer and explanation

Correct option: D

2 \mathrm{n} \pi+\frac{5 \pi}{6}

Option D (

2 \mathrm{n} \pi+\frac{5 \pi}{6}

) is correct because it represents the general solution for θ that satisfies both

\sin \theta = \frac{1}{2}

and

\cos \theta = -\frac{\sqrt{3}}{2}

, placing θ in the second quadrant.

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