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- By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ - 20cos3θ + 5cosθ Also, express sin5θ as powers of sinθ.How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?Solve the equation 2 sin2 x + cos x = 1 on the interval [0, 2π).Use exact values where possible or give approximate solutions correct to four decimal places.