The Equation Cos 2x + a sin x = 2a – 7 Possesses A Solution If

If A lies in the second quadrant and 3 tan A + 4 = 0, the value of 2 cot A – 5 cos A + sin A is equal to

The value of the determinant

Is zero if

  is equal to

An angle α is divided into two parts so that the ratio of the tangents of these parts is λ. If the difference between these parts is x then sinx/sinα is equal to

 or equal to

Given θ Ïµ (0,π/4) and t₁ = (tan θ)^tanθ t₂ = (tan θ)^cotθ, t₃ = (cot θ)^tanθand t₄ = (cot θ)^cotθ then

If x = sin α, y = sin β, z = sin (α + β) then cos (α + β) =

The radius of the circle

If tan x + tan (x + π/3) + tan (x + 2π/3) = 3, then

sin 47⁰ + sin 61⁰ – sin 11⁰ – sin 25⁰ is equal to