MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 176

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If $\sin^{- 1} (\frac{x}{13}) + {cosec}^{- 1} (\frac{13}{12}) = \frac{π}{2}$ , then the value of $x$ is

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Important Questions on Trigonometric Functions-II

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 177

If

\cot^{- 1} \propto + \cot^{- 1} β = \cot^{- 1} x

, then

x =

; where

\propto, β > 1

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 178

If

\tan^{- 1} 2 x + \tan^{- 1} 3 x = \frac{π}{4}, x \in [- \frac{1}{\sqrt{6}}, \frac{1}{\sqrt{6}}]

then

x =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 179

The possible values of

x

in the interval

(- 2, 2)

which satisfy the trigonometric equation

\tan^{- 1} (\frac{x - 1}{x - 2}) + \tan^{- 1} (\frac{x + 1}{x + 2}) = \frac{π}{4}

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 180

The simplified form of

\tan^{- 1} (\frac{x}{y}) - \tan^{- 1} (\frac{x - y}{x + y})

if

x > y > 0

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 11 - Trigonometric Functions-II>Competitive Thinking>Q 181

For

Δ A B C

, if

A = \tan^{- 1} (2), B = \tan^{- 1} (3)

, then

C =____________

.

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 182

If

∠ A = 90 °

in the triangle

A B C

, then

\tan^{- 1} (\frac{c}{a + b}) + \tan^{- 1} (\frac{b}{a + c}) =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 11 - Trigonometric Functions-II>Competitive Thinking>Q 183

If

a > b > c > 0

, then

\cot^{- 1} (\frac{a b + 1}{a - b}) + \cot^{- 1} (\frac{b c + 1}{b - c}) + \cot^{- 1} (\frac{c a + 1}{c - a})

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 11 - Trigonometric Functions-II>Competitive Thinking>Q 184

If

\tan^{- 1} x + \tan^{- 1} y + \tan^{- 1} z = \frac{π}{2}

, then