JEE MATHEMATICS MCQ: COMPOUND ANGLES

1 Easy

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Analyzing +4 | -1

m\,\,\tan \,\,\left( {\theta - 30^\circ } \right) = n\,\,\tan \,\,\left( {\theta + 120^\circ } \right)

, then

\cos \,\,2\theta

equals

View answer and explanation

Correct option: D

\frac{{m + n}}{{2\left( {m - n} \right)}}

Option D (

\frac{{m + n}}{{2\left( {m - n} \right)}}

) is correct because it is the result of simplifying the trigonometric equation and solving for

\cos 2\theta

More Questions from COMPOUND ANGLES

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\tan \left( {A + B} \right) = p

\tan \left( {A - B} \right) = q

\tan \,\,2A

\cos \,\,x\,\,\cos \,\,y\,\,\sin \,\,\left( {x - y} \right) + \cos \,\,y\,\,\cos \,\,z\,\,\sin \,\,\left( {y - z} \right)

+ \cos \,\,z\,\,\cos \,\,x\,\,\sin \,\,\left( {z - x} \right) + \sin \,\,\left( {x - y} \right)\sin \,\,\left( {y - z} \right)\,\,\sin \,\,\left( {z - x} \right)

\sin \alpha, \cos \alpha

\sqrt{1+\sin \alpha \cos \alpha}

0<\alpha<\frac{\pi}{2}

\tan \,\,A = 2\,\,\tan \,\,B + \cot \,\,B,\;\;\mathrm{then}\;\,2\,\,\tan \left( {A - B} \right)\mathrm{\;}

A,B,C

{\tan ^2}\,\,\frac{A}{2} + {\tan ^2}\,\,\frac{B}{2} + {\tan ^2}\,\,\frac{C}{2}

A > 0,\,\;B > 0

A + B = \frac{\pi }{3}

\tan A\,\,\tan B