Chapter 3 : MATHS : XII : Trigonometric Functions: Inverse Trigonometry : Test 3

Chapter 3#: TRIGONOMETRIC FUNCTIONS- INVERSE TRIGONOMETRY                                                                  Marks -20                                                            Time - 30 Min

 

Q1) Find the Principal value of                                         (6M)

       a) cos^-1(-1/2)   b) tan^-1(-1)     c) cot^-1(-1/√3)     

Q2) Find the value of                                                        (4M)

       a) cos^-1(1/2) + 2 sin^-1(1/2)

       b) tan^-1(1) + 2cos^-1(1/2) + 3sin^-1(1/2)

Q3) Prove the property                                                     (4M)

       a) tan^-1(-x) = - tan^-1(x)

       b) sec^-1(-x) = π - sec^-1(x)

Q4) Show that                                                                   (3M)

        cos^-1(4/5) + cos^-1(12/13)  = cos^-1(33/65)

Q5) Show that  tan^-1(1/2) + tan^-1(2/11) = tan^-1(3/4)       (3M)