Eamcet - Maths - Trigonometric Equations Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
Start Test

   Time Left : 00 : 30    : 00

If 6 Sec2 θ-5 Sec θ+1=0 then θ=

  

  

  

  

If sin θ=-7/25 and  is not in the first quadrant, then (7cot θ -24 tan θ) / (7cot θ+24 tan θ) =

  

  

  

  

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

  

  

  

  

If cos θ=cos 5π/4, then θ=

  

  

  

  

If α, β, γ are the angles made by a line with x, y, z axes in positive directions then the range of cos α cos β+ cos β cos γ+cos γ cos α is

  

  

  

  

The smallest positive values of x and y which satisfy tan(x-y) =1, sec(x+y) = 2/√3 are

  

  

  

  

If cot θ+ cosec θ= √3 then θ=

  

  

  

  

If tan (πcos x) = cot (π sinx) then cos(x-π/4) =

  

  

  

  

If tan x+ tan 4x+tan 7x=tan x tan 4x tan 7x, then x=

  

  

  

  

The equation cos4x-(a+2)cos2x-(a+3) =0 possesses a solution if

  

  

  

  

If 2 Sin2x + √3 Cosx+1=0, then θ=

  

  

  

  

If tan2 θ=3 cosec2 θ-1 then θ=

  

  

  

  

If tan θ+ tan 2θ+tan 3θ= 0 then θ=

  

  

  

  

If α,β are the roots of ax2+bx+c=0 then α2/β+β2/α=

  

  

  

  

If cot θ - tan θ= sec θ, then θ =

  

  

  

  

If 2Sin2 θ=3 Cos θ, then the valueof θ in [0,2π] are

  

  

  

  

If 2-cos3 θ=3 sin θ cos θ then θ=

  

  

  

  

If y=tan x cot 3x,xR,then

  

  

  

  

If 4 sin x.sin 2x.sin 4x=sin 3x then x=

  

  

  

  

If cos 2θ+cos 8θ= cos 5θ then θ=

  

  

  

  

If tan θ+tan (600+θ) tan (1200+θ) =3, then θ=

  

  

  

  

If sin x-3 sin 2x+sin 3x=cos x-3cos 2x+cos 3x then x=

  

  

  

  

If the sum of the squares of the roots of the equation x2-(sin α-2)x-(1+sin α)=0 is least,then α=

  

  

  

  

The solution of sin 2θ+cos 2θ+sin θ+ cos θ+1=0 in the first quadrant is

  

  

  

  

The general solution of sin2 θ sec θ+ √3tan θ=0 is

  

  

  

  

The solution set of sec θ=2cos θ is

  

  

  

  

If the roots of a(b-c)x2+b(c-a)x+c(a-b)=0 are equal,then a,b,c are in

  

  

  

  

If tan (π/2 sin θ) = cot (π/2 cos θ) then sin (θ+ π/4) =

  

  

  

  

If cos θ+cos 2θ+ cos 3θ=0 then θ=

  

  

  

  

If tan A,tan B are the roots of x2-px+q=0,the value of sin2(A+B) is

  

  

  

  

Note:
  • Click the 'Submit Test' button given in the bottom of this page to Submit your answers.
  • Test will be submitted automatically if the time expired.
  • Don't refresh the page.