### Eamcet - Maths - Trigonometric Equations Test

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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

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