10th Standard CBSE - Maths - Introduction to Trigonometry

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Question - 1

The square root  \(\frac { 1+sin\quad A }{ 1-sin\quad A } \)=

  • A cot A – cosec A
  • B sec A – tan A
  • C sec A + tan A
  • D cot A + cosec A

Question - 2


In figure, if D is mid-point of BC, the value of  \(\frac { cot\quad { y }^{ o } }{ cot\quad x^{ o } } \)is:

  • A 1/3
  • B 1/2
  • C 1/4
  • D 2

Question - 3

If cos (∝+β)=0 , then sin (∝-β) can be reduced to

  • A cos β
  • B sin α
  • C sin 2α
  • D cos 2β

Question - 4

if cosec27o = \(\frac { y }{ x } \), then sec27o - sin63o =

  • A \(\frac { x }{ y } \)
  • B \(\frac { x^{ 2 } }{ y^{ 2 } } \)
  • C \(\frac { x^{ 2 } }{ y\sqrt { y^{ 2 }-x^{ 2 } } } \)
  • D \(\frac { x^{ 2 } }{ \sqrt { y^{ 2 }-x^{ 2 } } } \)

Question - 5

If sin(2α + 45°) = cos(30° – α ), where, 0° < α < 90°, then the value of α in degrees is.

  • A 35°
  • B 5°
  • C 15°
  • D 25°

Question - 6

sin (60° + θ ) – cos (30° – θ ) is equal to (where (60° +θ ) and (30° – θ ) are both acute angles):

  • A 1
  • B 2 sin θ
  • C 0
  • D 2 cos θ

Question - 7

 If sin 3θ = cos(θ – 60) where θ and (θ – 6) are acute angles, the value of θ is

  • A 60°
  • B 24°
  • C 30°
  • D 90°

Question - 8

The value of \(\frac { cot\quad 54^{ o } }{ tan\quad 36^{ o } } +\frac { tan\quad 20^{ o } }{ cot\quad 70^{ o } } -2\)

  • A 1
  • B 2
  • C 0
  • D 3

Question - 9

Simplify \(\frac { 1+cot\quad A }{ sin\quad A } +\frac { sin\quad A }{ 1+cos\quad A } \)

  • A 2 sec A
  • B 2 cosec A
  • C 2 sin A
  • D 2 cos A

Question - 10

if  tan θ+cot θ =2 then the value of tan2 θ+cot2 θ  is

  • A 0
  • B 2
  • C 3
  • D 1
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