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Recent questions tagged ch2
Questions
If $3\tan^{-1}x+\cot^{-1}x=\pi$ then $x$ equals
cbse
class12
ch2
q22
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Which of the following is the principal value branch of $\text{cosec}^{-1}x$?
cbse
class12
ch2
q21
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Which of the following is the principal value branch of $\cos^{-1}x$?
cbse
class12
ch2
q20
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
If $a_1,a_2,a_3,......a_n$ is an arithmetic progression with common difference d,then evaluate the following expression $\tan \bigg( \tan^{-1}\bigg(\frac{d}{1+a_1a_2}\bigg)+\tan^{-1}\bigg(\frac{d}{1+a_2a_3}\bigg)+\tan^{-1}\bigg(\frac{d}{1+a_3a_4}\bigg)+........+\tan^{-1}\bigg(\frac{d}{1+a_{n-1}a_n}\bigg) \bigg) $
cbse
class12
ch2
q19
p37
exemplar
difficult
sec-c
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
What is the value of $\tan({\frac{1}{2}}\sin^{-1}{\frac{3}{4}})$?
cbse
class12
ch2
q18
p37
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the value of $4\tan^{-1}{\large \frac{1}{5}}$$-\tan^{-1}{\large\frac{1}{239}}$
cbse
class12
ch2
q17
p36
exemplar
difficult
sec-c
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
What does $\tan^{-1}{\frac{1}{4}}+\tan^{-1}{\frac{2}{9}}$ reduce to?
cbse
class12
ch2
q16
p36
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Show that $\sin^{-1}{\frac{5}{13}}+\cos^{-1}{\frac{3}{5}}=\tan^{-1}{\frac{63}{16}}$
cbse
class12
ch2
q15
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Prove that $ \sin^{-1}{\frac{8}{17}}+\sin^{-1}{\frac{3}{5}}=\sin^{-1}{\frac{77}{85}}$
cbse
class12
ch2
q14
p36
exemplar
easy
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Solve the following equation $\cos\big(\tan^{-1}x\big)=\sin\bigg(\cot^{-1}{\frac{3}{4}}\bigg)$
cbse
class12
ch2
q11
p36
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Show that $\cos\bigg(2\tan^{-1}{\frac{1}{7}}\bigg)=\sin\bigg(4\tan^{-1}{\frac{1}{3}}\bigg)$
cbse
class12
ch2
q10
p36
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
If $2\tan^{-1}(\cos x)=\tan^{-1}(2cosecx)$,then what is the value of $x$?
cbse
class12
ch2
q9
p36
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the value of the expression $\sin \bigg(2\tan^{-1}{\frac{1}{3}}\bigg)+\cos \big(\tan^{-1}2\sqrt 2\big)$
cbse
class12
ch2
q8
p36
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the real solution of the equation <BR>$\tan^{-1}\sqrt{x(x+1)}+\sin^{-1}\sqrt{x^2+x+1}=\frac{\pi}{2}$
cbse
class12
ch2
q7
p36
exemplar
difficult
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the value of $\tan^{-1}\bigg(\tan{\frac{2\pi}{3}}\bigg)$
cbse
class12
ch2
q5
p35
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the value of $\; \tan^{-1}\bigg(\tan{\frac{5\pi}{6}}\bigg)+\cos^{-1}\bigg(\cos{\frac{13\pi}{6}}\bigg)$
cbse
class12
ch2
q1
p35
short-answer
exemplar
medium
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Prove the following: \[ 2 \: tan^{-1} \frac{1}{2} + tan ^{-1} \frac{1}{7} = tan^{-1} \frac{31}{17} \]
cbse
class12
bookproblem
ch2
sec2
q4
p47
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following function in the simplest form: \[ tan^{-1} \frac{\sqrt {1 + x^2} - 1}{x}, x \neq 0\]
cbse
class12
bookproblem
ch2
sec2
q5
p47
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following function in the simplest form: \[ tan^{-1} \frac{1}{\sqrt{x^2 - 1}}, | x | > 1 \]
cbse
class12
bookproblem
ch2
sec2
q6
p47
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following function in the simplest form: \[ tan^{-1} \bigg( \sqrt {\frac{1-cos \: x}{1 + cos \: x}} \bigg), x < \pi\]
cbse
class12
bookproblem
ch2
sec2
q7
p47
easy
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following function in the simplest form: \[ tan^{-1} \bigg( \frac{cos\: x - sin\: x}{cos\: x + sin\: x} \bigg) , 0 < x < \pi \]
cbse
class12
bookproblem
ch2
sec2
q8
p47
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following in the simplest form: $ \tan^{-1} \large \frac{x}{\sqrt {a^2 - x^2}},$$ | x | < a $
cbse
class12
bookproblem
ch2
sec2
q9
p48
easy
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Write the following function in the simplest form:\[ tan^{-1} \bigg( \frac{3a^2x-x^3}{a^3-3ax^2} \bigg), a > 0 ; \frac{-a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3} \]
cbse
class12
bookproblem
ch2
sec2
q10
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $ \tan^{-1} \bigg[ 2\cos \bigg(2\sin^{-1}\frac{1}{2}\bigg) \bigg] $
cbse
class12
bookproblem
ch2
sec2
q11
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]
cbse
class12
bookproblem
ch2
sec2
q12
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of \[ tan\frac{1}{2} \bigg[ sin^{-1} \frac{2x}{1+x^2} + cos^{-1} \frac{1-y^2}{1+y^2} \bigg], | x | < 1, y > 0 \: and \: xy < 1\]
cbse
class12
bookproblem
ch2
sec2
q13
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $x$ if \( sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1\).
cbse
class12
bookproblem
ch2
sec2
q14
p48
easy
veryshort
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
If $ \tan^{-1} \frac{\large x-1}{\large x-2} + \tan^{-1} \frac{\large x+1}{\large x+2} = \frac{\large \pi}{\large 4} $ then find the value of $x$
cbse
class12
bookproblem
ch2
sec2
q15
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q16
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q17
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q18
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to
cbse
class12
bookproblem
ch2
sec2
q20
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$
cbse
class12
bookproblem
ch2
sec2
q21
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of: $\cos^{-1} (\cos \large\frac{13\pi}{6} ) $
cbse
class12
bookproblem
ch2
misc
q1
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the following:<br> $ tan^{-1} \bigg(tan \frac{7\pi}{6}\bigg)$
cbse
class12
bookproblem
ch2
misc
q2
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
What does $ 2\sin^{-1} \frac{3}{5}$ reduce to
cbse
class12
bookproblem
ch2
misc
q3
p51
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Prove the following\[3\sin^{-1}x=\sin^{-1}(3x-4x^3)\;x\in\bigg[-\frac{1}{2},\frac{1}{2}\bigg]\]
cbse
class12
bookproblem
ch2
sec2
q1
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following \[3\cos^{-1}x=\cos^{-1}(4x^3-3x), \;x\;\in\bigg[\frac{1}{2},1\bigg]\]
cbse
class12
bookproblem
ch2
sec2
q2
p47
veryshort
easy
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following\[\tan^{-1}\frac{2}{11}+\tan^{-1}\frac{7}{24}=\tan^{-1}\frac{1}{2}\]
cbse
class12
bookproblem
ch2
sec2
q3
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove that \[sin^{-1} \frac{8}{17} +sin^{-1} \frac{3}{5} =tan^{-1} \frac{77}{36}\]
cbse
class12
bookproblem
ch2
misc
q4
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[cos^{-1} \frac {4}{5} +cos^{-1} \frac{12}{13}=cos^{-1} \frac{33}{65}\]
cbse
class12
bookproblem
ch2
misc
q5
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[ cos^{-1} \frac {12}{13} +sin^{-1} \frac{3}{5}=sin^{-1} \frac{56}{65}\]
cbse
class12
bookproblem
ch2
misc
q6
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
What does $\sin^{-1} \frac{5}{13}+\cos^{-1} \frac {3}{5}$ reduce to?
cbse
class12
ch2
q7
medium
additionalproblem
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[tan^{-1} \frac{1}{5}+ tan^{-1} \frac{1}{7}+tan^{-1}\frac{1}{3}+tan^{-1} \frac{1}{8}= \frac{\pi}{4}\]
cbse
class12
bookproblem
ch2
misc
q8
p51
sec-c
medium
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[tan^{-1} \sqrt{x} = \frac{1}{2} cos^{-1} \;\; \bigg(\frac{1-x}{1+x}\bigg), x\in [0,1]\]
cbse
class12
bookproblem
ch2
misc
q9
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
prove that \[tan^{-1} \left ( \frac {{\sqrt {1+x}}-{\sqrt {1-x}}}{{\sqrt {1+x}}+{\sqrt {1-x}}} \right ) = \frac {\pi}{4} -\frac{1}{2} cos^{-1}x,-\frac{1}{\sqrt2} \leq x \leq 1 \]
cbse
class12
bookproblem
ch2
misc
q11
p52
sec-b
medium
modelpaper
2012
q12
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[cot^{-1} \left ( \frac {{\sqrt {1+sinx}}+{\sqrt {1-sinx}}}{{\sqrt {1+sinx}}-{\sqrt {1-sinx}}} \right ) = \frac {x}{2} , x \in \left ( 0, \frac{\pi}{4} \right )\]
cbse
class12
bookproblem
ch2
misc
q10
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that \[\frac{9 \pi}{8} - \frac{9}{4} sin ^{-1}\frac{1}{3}= \frac{9}{4} sin^{-1}\frac{2\sqrt 2}{3}\]
cbse
class12
bookproblem
ch2
misc
q12
p52
difficult
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Solve the following \[2tan^{-1} (cos x) = tan^{-1} (2\, cosec\, x) \]
cbse
class12
bookproblem
ch2
misc
q13
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
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