Dnyaneshwar Vidyapeeth (Trust)

Assignment 3

 

ASSIGNMENT INTRODUCTION TO MATHEMATICS-1

SUB –CODE- (EGR-D1206)             COURSE:  TECH QUIC DIPLOMA          SESSION - Summer

                                                        BRANCH – ALL

 

 

Q. 1)  Solve.

1.      Prove that:  cosec2θ - cos2θ  · cosec2θ = 1  (page no. 114)

2.    Prove that (1 + tan θ )2 + (1 + cot θ )2 = (cosec θ + sec θ)2(page no. 120)

3.    Prove that  (page no. 119)

4.    Prove that   (page no. 123)

 

      Q. 2)  Solve.

1.    If tan, Find the value of sin α (page no. 133)

2.    Prove that (1 + cot A – cosec A) (1 + tan A + sec A) = 2(page no. 132)

          3.    If tan A = 3, tan B = 2, find the values of tan (2A + B) & tan (A + 2B)                           (page no. 128)

4.       Prove that: Cos 2A + Cos 2B – Cos 2C = 1 - 4 SinA . SinB . CosC

                                                                     (page no. 139)

          5.    If tan A  =     1  .   find the value of    Cosec2 A – Sec2 A  (page no. 134)

                                       Ö 7                                      Cosec2 A + Sec2 A

 

 

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