Test : Trigonometric Functions And Identities - 2 - Mathematics MCQ

If 0 < β < α < π/4 , cos(α + β) 3/5 and cos (α - β) = 4/5 then sin2α is equal to

  then cos(α-β) is equal to

If tanθ + tan  tan 3θ then K is equal to

If α secα - c tanα - d and b sec - d tanα = e then

If cos 20° - sin20° = p then cos 40° is equal to

If 3sinθ + 4cosθ = 5 then the value of 4sinθ 3cosθ is 

If cos 2x + 2 cos x = 1 then sin²x (2 - cox²x) is equal to

If α, β, γ and δ be four angles of a cyclic quadrilateral then the value of cos α + cos β + cos y + cos δ is

if 4nα = π then cotα . cot2α . cot3α ... cot(2n -1)a is equal o

The value of cos12°.cos24°.cos36°.cos48°•cos72°.cos 84° is

The value of cosπ/11 + cos 3π/11+ cos 5π/11 + cos7π/ 11 + cos 9π/11 is

 is equal to

The number of distinct solutions of sin 5θ . cos 3θ = sin9θ • cos 7θ in [0,π/2] is

The number of solutions of sin²θ + 3cosθ = 3 in [-π,π] is

 The number of distinct solutions of secθ + tanθ = √3, 0 ≤ θ, < 3π, is

 The number of solutions of the equation 5secθ - 13 = 12tanθ in [0,2π] is

The equation p cos x - q sin x - r has solution for x only if