10th Class Mathematics Introduction to Trigonometry Question Bank

done Case Based MCQs - Introduction to Trigonometry Total Questions - 20

• question_answer1)

  Directions: Q. 1 to 5

  Two jet plane leave an airport, one after the other. After moving on runway, one flies due North and other flies due South. The speed of two aeroplanes is 400 km/h and 500 km/h respectively.

  Considering PQ as runway and A and B are any two points in the path followed by two jet planes, then answer the following questions.

  Find \[\tan \theta \]; if \[\angle APQ=\theta \].
  A)
  \[\frac{1}{5}\] done clear
  B)
  \[\frac{2}{3\sqrt{2}}\] done clear
  C)
  \[\frac{\sqrt{3}}{2}\]      done clear
  D)
  \[\frac{3}{5}\] done clear
  View Solution play_arrow

• question_answer2)
  Find \[\cot \,B\].
  A)
  \[\frac{3}{4}\] done clear
  B)
  \[\frac{6}{5}\] done clear
  C)
  \[\frac{5}{6}\] done clear
  D)
  \[\frac{15}{8}\] done clear
  View Solution play_arrow

• question_answer3)
  Find \[\tan \,A\].
  A)
  2/3 done clear
  B)
  \[\sqrt{2}\] done clear
  C)
  \[\frac{5}{3}\] done clear
  D)
  \[\frac{2}{\sqrt{3}}\] done clear
  View Solution play_arrow

• question_answer4)
  Find sec A.
  A)
  1 done clear
  B)
  2 done clear
  C)
  \[\frac{4}{3}\] done clear
  D)
  \[\frac{5}{3}\] done clear
  View Solution play_arrow

• question_answer5)
  Find cosec B.
  A)
  \[\frac{17}{8}\] done clear
  B)
  \[\frac{8}{5}\] done clear
  C)
  \[\frac{6}{5}\] done clear
  D)
  \[\frac{8}{17}\] done clear
  View Solution play_arrow

• question_answer6)
   

  Directions: Q. 6 to 10

  Kavita a student of class 10th, has to made a project on 'Introduction to Trigonometry'. She decides to make a Dog house which is triangular in shape.

  She uses cardboard to make the Dog house as shown in the figure.

  Considering the front side of Dog house as right angled triangle PQR, right angled at R, answer the following questions.

  If \[\angle PQR=\theta \], then \[\cos \theta \]is equal to
  A)
  \[\frac{4}{5}\] done clear
  B)
  \[\frac{5}{12}\] done clear
  C)
  \[\frac{3}{5}\] done clear
  D)
  \[\frac{13}{12}\] done clear
  View Solution play_arrow

• question_answer7)
  The value of \[\sec \theta \] is
  A)
  \[\frac{5}{12}\] done clear
  B)
  \[\frac{5}{4}\] done clear
  C)
  \[\frac{13}{12}\] done clear
  D)
  \[\frac{5}{3}\] done clear
  View Solution play_arrow

• question_answer8)
  The value of \[\frac{\tan \theta }{1+{{\tan }^{2}}\theta }\] is
  A)
  \[\frac{5}{12}\] done clear
  B)
  \[\frac{5}{4}\]           done clear
  C)
  \[\frac{60}{169}\] done clear
  D)
  \[\frac{169}{60}\] done clear
  View Solution play_arrow

• question_answer9)
  The value of \[{{\cot }^{2}}\theta -\cos e{{c}^{2}}\theta \] is
  A)
  -1 done clear
  B)
  0 done clear
  C)
  1 done clear
  D)
  2 done clear
  View Solution play_arrow

• question_answer10)
  The value of \[{{\sin }^{2}}\theta +{{\cos }^{2}}\theta \] is
  A)
  0 done clear
  B)
  1 done clear
  C)
  -1 done clear
  D)
  2 done clear
  View Solution play_arrow

• question_answer11)
   

  Directions: Q. 11 to 15

  Ritu's daughter is feeling so hungry and so thought to eat something. She looked into the bag and found some chips packed. She decided to eat. She open the chips packet and found that it forms a right angled triangle, with sides 3 cm, \[3\sqrt{3}\] cm and 6 cm.

  On the basis of above information, answer the following questions.

  The value of \[\angle M=\]
  A)
  \[30{}^\circ \] done clear
  B)
  \[60{}^\circ \] done clear
  C)
  \[45{}^\circ \] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer12)
  The value of \[\angle K=\]
  A)
  \[45{}^\circ \] done clear
  B)
  \[30{}^\circ \] done clear
  C)
  \[60{}^\circ \] done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer13)
  Find the value of tan M.
  A)
  \[\sqrt{3}\] done clear
  B)
  \[\frac{1}{\sqrt{3}}\] done clear
  C)
  1 done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer14)
  \[{{\sec }^{2}}M-1=\]
  A)
  tan M done clear
  B)
  tan2M done clear
  C)
  \[{{\tan }^{2}}M\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer15)
  The value of \[\frac{{{\tan }^{2}}45{}^\circ -1}{{{\tan }^{2}}45{}^\circ +1}\] is
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  -1 done clear
  View Solution play_arrow

• question_answer16)
   

  Directions: Q. 16 to 20

  Janvi and her father go to meet her friend Sanvi for a candle light event.

  When they reached to church. Janvi saw the top of the church which is triangular in shape. If she imagined the dimensions of the top as given in the figure, then answer the following questions.

  If D is the mid point of AC, then BD is
  A)
  2m done clear
  B)
  3m done clear
  C)
  4m done clear
  D)
  6m done clear
  View Solution play_arrow

• question_answer17)
  Measure of \[\angle A\] is
  A)
  \[30{}^\circ \] done clear
  B)
  \[60{}^\circ \] done clear
  C)
  \[45{}^\circ \] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer18)
  Measure of \[\angle C\] is
  A)
  \[30{}^\circ \] done clear
  B)
  \[60{}^\circ \] done clear
  C)
  \[45{}^\circ \] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer19)
  The value of\[\sin \,A+\cos \,C\].
  A)
  0 done clear
  B)
  1 done clear
  C)
  \[\frac{1}{\sqrt{2}}\] done clear
  D)
  \[\sqrt{2}\] done clear
  View Solution play_arrow

• question_answer20)
  The value of \[{{\tan }^{2}}C+{{\tan }^{2}}A\].
  A)
  0 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  \[\frac{1}{2}\] done clear
  View Solution play_arrow