Trigonometric l...

If cos 20^o - sin 20^o = p, then cos 40^o is equal to

If S_n = cosⁿ θ + sinⁿ θ, then the value of 3S₄ - 2S₆ is given by

If cosχ + cos²χ = 1, then the value of sin¹²χ + 3 sin¹⁰χ + 3 sin⁸ χ +sin⁶χ - 1 is

sin² 17.5^o + sin² 72.5^o is equal to

If θ ϵ (0, π/4) and t₁ = (tan θ)^{tan θ}, t₂ = (tan θ)^{cot θ}, t₃ = (cot θ)^{tan θ} and t₄ = (cot θ)^{tan θ}, then

If 12 cot² θ - 31 cosec θ + 32 = 0, the the value of sin θ is

If sin θ + cosec θ = 2, then the value of sin¹⁰ θ + cosec¹⁰ θ is

If sin θ = sin α, then

tan 81^o - tan 63^o - tan 27^o + tan 9^o equals

ABCD is trapezium, such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and CD = q, then Ab is