Chapter 03:Maths: XII : Inverse Trigonometry DPP Test

Chapter 3#: TRIGONOMETRIC FUNCTIONS- INVERSE TRIGONOMETRY

Marks -20                                   Time - 30 Min

 

Q1) Find the Principal value of                                      (6M)

       a) Sin^-1(1/√2)   b) tan^-1(-√3)     c) cosec^-1(2)     

Q2) Find the value of                                                     (4M)

       a) tan^-1(√3) - sec^-1(-2)

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

Q3) Prove the property                                                  (4M)

       a) sin^-1(-x) = - sin^-1(x)

       b) cos^-1(-x) = π - cos^-1(x)

Q4) Show that                                                                (3M)

        cos^-1(12/13) + sin^-1(3/5)  = sin^-1(56/65)

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