math test 02

1
Find the Principal values of 1 9 tan tan 8 Evaluate: 1 5 sin 2cot 12 Using Principal values, Find the values of 1 1 tan 3 sec 2 Find the value of x 1 1 sin 1 2sin 2 x x Find the value of x 1 1 2 tan cos tan 2 cos x ecx If 1 1 1 tan tan tan x y z , Prove that x y z xyz . Show that : 1 1 cos .cos 2 tan tan tan tan 4 2 4 2 sin sin Show that : 1 1 3 4 7 tan sin 2 4 3 Show that : 1 1 4 2 tan 3 tan 2 3 Subject-Mathematics Compiled By : Er.Md Rizwan Ahmad Class-XII Contact No.:- +91-9004164029 Time Allowed : 60 Minutes Max. Marks : 25 General Instructions : (a) All questions are compulsory. (b) The question paper consist of 10 questions and 1 printed side. Question numbers 1 to 3 carry 1 mark each,Question numbers 4 to 5 carry 2 marks each,Question numbers 6 to 7 carry 3 marks each, and Question numbers 8 to 10 carry 4 marks each. (c) Use of calculators in not permitted. You may ask for logarithmic tables, if required. MINOR TEST-02 [1] [1] [1] [2] [2] [3] [3] [4] [4] If a 1 , a 2 , a 3 , .............. form an A.P. with common difference d (a > 0, d > 0) prove that tan –1 1+ a 1 a 2 d + tan –1 1+ a 2 a 3 d + .......... + tan –1 1+ a n a n1 d + = tan –1 1 n+1 n+1 - a 1 1+ aa a Q01. Q02. Q03. Q04. Q05. Q06. Q07. Q08. Q09. Q10. 1 Compiled By:- Er. Md.Rizwan Ahmad Contact:-+91-9004164029 ..……Best of luck…….. [4]

Upload: md-rizwan-ahmad

Post on 06-Sep-2015

216 views

Category:

Documents


3 download

DESCRIPTION

math test

TRANSCRIPT

  • Find the Principal values of1 9tan tan

    8

    Evaluate:

    1 5sin 2cot

    12

    Using Principal values, Find the values of

    1 1tan 3 sec 2

    Find the value of x

    1 1sin 1 2sin2

    x x

    Find the value of x

    1 12tan cos tan 2cosx ecx

    If1 1 1tan tan tanx y z , Prove that x y z xyz .

    Show that :

    1 1 cos .cos2 tan tan tan tan4 2 4 2 sin sin

    Show that :

    11 3 4 7tan sin2 4 3

    Show that :

    1 14

    2 tan 3 tan2 3

    Subject-Mathematics

    Compiled By : Er.Md Rizwan Ahmad

    Class-XII

    Contact No.:- +91-9004164029

    Time Allowed : 60 Minutes Max. Marks : 25

    General Instructions :

    (a) All questions are compulsory.

    (b) The question paper consist of 10 questions and 1 printed side. Question numbers 1 to 3 carry 1 mark each,Question numbers 4 to 5 carry 2 marks each,Question numbers 6 to 7 carry 3 marks each, and Question numbers 8 to 10 carry 4 marks each.

    (c) Use of calculators in not permitted. You may ask for logarithmic tables, if required.

    MINOR TEST-02

    [1]

    [1]

    [1]

    [2]

    [2]

    [3]

    [3]

    [4]

    [4]

    If a1, a2, a3, .............. form an A.P. with common difference d (a > 0, d > 0) prove that

    tan1 1+ a1a2d

    + tan1 1+ a2a3d

    + .......... + tan1 1+ an an 1d

    + = tan1

    1 n+1n+1 - a1

    1+ a aa

    Q01.

    Q02.

    Q03.

    Q04.

    Q05.

    Q06.

    Q07.

    Q08.

    Q09.

    Q10.

    1 Compiled By:- Er. Md.Rizwan Ahmad Contact:-+91-9004164029

    ..Best of luck..

    [4]