JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

In any

\triangle A B C

, if

\sin A, \sin B

and

\sin C

are in

A P

, then the maximum value of

\tan \frac{B}{2}

View answer and explanation

Correct option: B

\frac{1}{\sqrt{3}}

Option B (

\frac{1}{\sqrt{3}}

) is correct. The maximum value of

\tan \frac{B}{2}

is found by expressing it in terms of

\sin A

and

\cos A

, then using trigonometric identities and inequalities.

More Questions from PROPERTIES OF TRIANGLES

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{p_1},{p_2},{p_3}

\Delta \;ABC

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\Delta

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5k,\;6k,\;5k

k

\Delta \,ABC

a = \left( {b - c} \right)\sec \theta

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\Delta \;ABC,\frac{{b + c}}{a}

\Delta = {a^2} - {\left( {b - c} \right)^2}

\Delta

\Delta \;ABC

\tan A

A

2 s