Trigonometry Two Marks Question

11th Standard

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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Convert the following degree measure into radian measure 240o

  2. Convert the following degree measure into radian measure -320o

  3. Find the degree measure corresponding to the following radian measure.  -3

  4. Find the degree measure corresponding to the following radian measure.  \(\frac { 11\pi }{ 18 } \)

  5. Evaluate \(\cot\left(\frac{-15\pi}{4}\right)\)

  6. In any quadrilateral ABCD, prove that sin (A + B) + sin (C + D) = 0

  7. Prove that \(\cos18^o-\sin18^o=\sqrt{2}.\sin27^o\)

  8. If \(\tan^2x=2\tan^2\phi+1\), prove that \(\cos2x+sin^2\phi=0\)

  9. Convert  \(\frac{1}{4}\)radians into degree

  10. Find the quadrants in which the terminal sides of the following angles lie.
    -70c

  11. Express the following as sum or difference
    2cos3\(\theta\)cos\(\theta\)

  12. Express the following as sum or difference
    2sin4\(\theta\)sin2\(\theta\)

  13. Express the following as sum or difference
    cos\(\frac{3A}{2}cos\frac{5A}{2}\)

  14. Express the following as sum or difference
    2cos13Asin15A

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

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