Trigonometric l...

The number of values of θ in the interval [-π, π] satisfying the equations cos θ + sin 2θ = 0 is

If cos θ - 4 sin θ = 1, then sin θ + 4 cos θ is equal to

If cos 2χ = (√2 + 1) (cosχ -(1/√2)) , cos χ ≠ 1/2, χ ϵ I

If cos x = tan y, cot y = tan z and cot z = tan x , then sin x is equal to

In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to

If cos α + 2cos β + 3cos γ = 0, in α + 2sin β + 3sin γ = 0 and α + β + γ = π then sin 3 α + 8sin 3β + 27 sin 3γ is equal to

In a ∆ABC, if ∠A = π/2, then cos² B + cos² C equals

Which one of the following is possible