New ! Maths MCQ Practise Tests



12th Standard English Medium Maths Subject Inverse Trigonometric Functions Creative 3 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15
  1. Prove that \({ cos }^{ -1 }\left( \frac { 4 }{ 5 } \right) +{ tan }^{ -1 }\left( \frac { 3 }{ 5 } \right) ={ tan }^{ -1 }\left( \frac { 27 }{ 11 } \right) \)

  2. Prove that \({ tan }^{ -1 }\left( \frac { m }{ n } \right) -{ tan }^{ -1 }\left( \frac { m-n }{ m+n } \right) =\frac { \pi }{ 4 } \)

  3. Solve \({ tan }^{ -1 }\left( \frac { 2x }{ 1-{ x }^{ 2 } } \right) +{ cot }^{ -1 }\left( \frac { 1-{ x }^{ 2 } }{ 2x } \right) =\frac { \pi }{ 3 } ,x>0\)

  4. Prove that \({ tan }^{ -1 }\sqrt { x } =\frac { 1 }{ 2 } { cos }^{ -1 }={ \frac { 1 }{ 2 } { cos }^{ -1 }\left( \frac { 1-x }{ 1+x } \right) ,x\in \left| 0,1 \right| }\)

  5. Find the real solutions of the equation
    \({ tan }^{ -1 }\sqrt { x(x+1) } +{ sin }^{ -1 }\sqrt { { x }^{ 2 }+x+1 } =\frac { \pi }{ 2 } \)

*****************************************

Reviews & Comments about 12th Standard English Medium Maths Subject Inverse Trigonometric Functions Creative 3 Mark Questions with Solution Part - II

Write your Comment