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.
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If cos 2θ+cos 8θ= cos 5θ then θ=

  

  

  

  

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

  

  

  

  

If sin 7θ+sin 4θ+ sin θ=0, 0≤θ≤ π/2 then θ=

  

  

  

  

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

  

  

  

  

If 4 cos θ.cos (1200+ θ). Cos (1200- θ)=1/2 then θ=

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If tan2 θ=3 cosec2 θ-1 then θ=

  

  

  

  

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

  

  

  

  

The domain of Cos-1 (4x-9) is

  

  

  

  

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

  

  

  

  

If cos θ=cos 5π/4, then θ=

  

  

  

  

The solution set of sec θ=2cos θ is

  

  

  

  

If tan θ+ tan 2θ+tan 3θ= 0 then θ=

  

  

  

  

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 6 Sec2 θ-5 Sec θ+1=0 then θ=

  

  

  

  

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

  

  

  

  

If 2 Sin2x + √3 Cosx+1=0, then θ=

  

  

  

  

If cos θ+√3 sinθ=2 then θ=

  

  

  

  

If 2-cos3 θ=3 sin θ cos θ then θ=

  

  

  

  

All the values of x satisfying sin 2x+ sin 4x= 2 sin 3x are

  

  

  

  

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

  

  

  

  

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=

  

  

  

  

If tan θ + tan 2θ+ √3 tan θ tan 2θ=√3 then θ=

  

  

  

  

If x is an acute angle and sin(x+280) =cos (3x-780), then x=

  

  

  

  

If cot θ+ cosec θ= √3 then θ=

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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