If Sin θ and Cos θ are The Roots Of The Equation ax2 – bx + c = 0, Then a, band c satisfy The Relation

If sin x + sin² x = 1, then the value of cos¹² x + 3 cos¹⁰ x + 3 cos⁸ x + cos⁶ x – 1 is equal to

The value of

If θ lies in the first quadrant and cos θ = 8/17, then the value of cos (30⁰ +θ) + cos (45⁰ – θ) + cos (120⁰ – θ) is

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