Trigonometry Book Back Questions

11th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. The degree measure of \(\frac{\pi}{8}\) is

    (a)

    20o60'

    (b)

    22o30'

    (c)

    20o60'

    (d)

    20o30'

  2. The value of \(\sin(-420^o)\) is

    (a)

    \(\frac{\sqrt3}{2}\)

    (b)

    \(-\frac{\sqrt3}{2}\)

    (c)

    \(\frac{1}{2}\)

    (d)

    \(\frac{-1}{2}\)

  3. The value of sec A sin(270o+A) is

    (a)

    -1

    (b)

    cos2 A

    (c)

    sec2 A

    (d)

    1

  4. The value of cos245o-sin245o is

    (a)

    \(\frac{\sqrt3}{2}\)

    (b)

    \(\frac{1}{2}\)

    (c)

    0

    (d)

    \(\frac{1}{\sqrt{2}}\)

  5. The value of \(\frac{2\tan30^o}{1+tan^230}\) is

    (a)

    \(\frac12\)

    (b)

    \(\frac{1}{\sqrt3}\)

    (c)

    \(\frac{\sqrt{3}}{2}\)

    (d)

    \(\sqrt3\)

  6. 3 x 2 = 6
  7. Convert the following degree measure into radian measure 60o

  8. Evaluate
    \(\cos\left[\tan^{-1}\left(\frac34\right)\right]\)

  9. Find the values of the following  cot 75°

  10. 3 x 3 = 9
  11. Prove that  \(\sec { \left( \frac { 3\pi }{ 2 } -\theta \right) } \sec { \left( \theta -\frac { 5\pi }{ 2 } \right) } +\tan { \left( \frac { 5\pi }{ 2 } +\theta \right) } \tan { \left( \theta -\frac { 5\pi }{ 2 } \right) } =-1\)

  12. Express each of the following as the sum or difference of sine or cosine:
    \(sin\frac { A }{ 8 } sin\frac { 3A }{ 8 } \)

  13. Prove that \(\frac { sin(-\theta )tan({ 90 }^{ o }-\theta )sec\left( { 180 }^{ o }-\theta \right) }{ sin(180+\theta )cot(360-\theta )cosec({ 90 }^{ o }-\theta ) } =1\)

  14. 2 x 5 = 10
  15. If \(\sin A=\frac35\) where \(0<A<\frac { \pi }{ 2 } \) and \(cosB=\frac { -12 }{ 13 } ,\pi <A<\frac { 3\pi }{ 2 } \) find the value of 
    \(\tan(A-B)\)

  16. If tan \(\alpha={{1}\over{7}},\sin\beta={{1}\over{\sqrt{10}}},\) Prove that \(\alpha+2\beta={{\pi}\over{4}}\) where \(0<\alpha<{{\pi}\over{2}}\) and \(0<\beta<{{\pi}\over{2.}}\)

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

TN 11th Standard Business Maths free Online practice tests

Reviews & Comments about 11th Standard Business Maths - Trigonometry

Write your Comment