JEE Maths - Trigonometry

Buy JEE Main Engineering Entrance Exam (Express) Practice test pack

Question - 1

If sin A = sin B and cos A = cos B, then

  • A \(sin{1\over2}(A+B)=0\)
  • B \(sin{1\over2}(A-B)=0\)
  • C \(cos{1\over2}(A+B)=0\)
  • D \(cos{1\over2}(A-B)=0\)

Question - 2

If cos \(\theta\) + sin \(\theta\) = \(\sqrt2\) cos \(\theta\) then cos \(\theta\) - sin \(\theta\) =

  • A \(\sqrt2\) cos \(\theta\)
  • B \(\sqrt2\) sin \(\theta\)
  • C \(\sqrt2\) (cos \(\theta\) + sin \(\theta\))
  • D None of these

Question - 3

The equation sin2 \(\theta\) = \(x^{2}+y^{2}\over2xy\),is posible if

  • A x=y
  • B x=-y
  • C 2x=y
  • D None of these

Question - 4

If sin3 x sin 3x =\(\sum _{ m=0 }^{ n }{ = } { c }_{ m }\)  cos mx ,where c0,c1,c2,......cn \(\neq \) 0, is an identify in x then n =

  • A 5
  • B 6
  • C 7
  • D 8

Question - 5

The value of the expression \(1-\frac { { \sin { } }^{ 2 }y }{ 1+\cos { \quad y } } +\frac { 1+\cos { \quad y } }{ sin\quad y } -\frac { sin\quad y }{ 1-\cos { \quad y } } \),is

  • A 0
  • B 1
  • C sin y
  • D cos y

Question - 6

If sin A,cos A,tan A are in G.P..,then cot6A - cot2A  , equals

  • A 0
  • B -1
  • C 1
  • D None of these

Question - 7

If sin x + sin2x =1 ,then value of cos2x+cos4x is

  • A 1
  • B 2
  • C 1.5
  • D None of these

Question - 8

The period of the function 4cos3 \(\theta\)-3cos \(\theta\) is

  • A \(\pi\over3\)
  • B \(\pi\over4\)
  • C \(2\pi\over3\)
  • D None of these

Question - 9

If \(xcos\theta = y cos\left( \theta +\frac { 2\pi }{ 3 } \right) =zcos\left( \theta +\frac { 4\pi }{ 3 } \right) \) ,then value of xy+yz+zx is

  • A 0
  • B 1
  • C 2
  • D None of these

Question - 10

The value of tan 3x-tan 2x-tan x is 

  • A tan x tan 2x tan 3x
  • B - tan x tan 2x tan 3x
  • C tan x tan 2x - tan 2x tan 3x -tan 3x tan x
  • D None of these
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next
Previous Next