Let S={θ∈(0,2π) ∶7 cos^2⁡θ-3 sin^2⁡θ-2 cos^2⁡2θ=2}. Then, the sum of roots of all the equations

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The sum of all values of θ ∈[0,2π] satisfying 2(sin)^2 θ = cos2θ and 2(cos)^2 θ = 3sinθ is

If the sum of solutions of the system of equations 2sin^2 θ - cos 2θ =0 and 2 cos ^2 θ + 3sinθ =0

Let \(S=\left\{\theta \in(0,2 \pi): 7 \cos ^2 \theta-3 \sin ^2 \theta-2 \cos ^2 2 \theta=2\right....

The number of solutions of the equation 2θ- cos^2 θ+ sqrt(2) = 0 in R is equal to

Let S={θ∈[-2π,2π]:2 〖cos〗^2⁡〖θ+3 sin⁡〖θ=0}〗 〗, then the sum of the elements of S is

(sin2θ +cos2θ)² = 4sinθcosθ - 8sin³θcosθ +1 and sin4x = 8cos³xsinx - 4cosxsinx

Find the solutions to a trig equation between 0 and 2pi

Solve pair of equations 2square(sinT) - cos2T = 0; 2square(cosT) - 3sinT = 0 in interval [0,2PI].