MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 29

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If $A + B + C = 180^{°},$ then the value of $(\cot B + \cot C) (\cot C + \cot A) (\cot A + \cot B)$ will be

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Important Questions on Factorization Formulae

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 30

If

A + B + C = 180 °,

then

\frac{\tan A + \tan B + \tan C}{\tan A \tan B \tan C} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 31

In

△ A B C, ∠ A = \frac{π}{2},

then

\cos^{2} B + \cos^{2} C =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 32

If

A + B + C = 180 °,

then the value of

\cot \frac{A}{2} + \cot \frac{B}{2} + \cot \frac{C}{2}

will be

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 33

If

A, B

and

C

are the angles of a plane triangle and

\tan \frac{A}{2} = \frac{1}{3}, \tan \frac{B}{2} = \frac{2}{3},

then

\tan \frac{C}{2}

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Competitive Thinking>Q 34

In any triangle

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

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Evaluation Test>Q 1

If

A + B + C = 180 °,

then

\sum \tan \frac{A}{2} \tan \frac{B}{2} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Evaluation Test>Q 2

If

α + β - γ = π,

then

\sin^{2} α + \sin^{2} β - \sin^{2} γ =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Factorization Formulae>Evaluation Test>Q 3

If

\cos θ + \cos 7 θ + \cos 3 θ + \cos 5 θ = 0

, then

θ

is