JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Medium

1 of 1

Application +4 | -1

D

is a point on the side

B C

of a

\triangle A B C

such that

B D: D C=m: n

and

\angle A D C=\theta

\angle B A D=\alpha

and

\angle D A C=\beta

. Then,

(m+n) \cot \theta

is equal to

View answer and explanation

Correct option: C

m \cot \alpha-n \cot \beta

Option C (

m \cot \alpha - n \cot \beta

) is correct because it is the result of applying trigonometric identities and the sine rule to the given triangle configuration.

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