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1. Solve sin 2θ − cosθ = 41​ for θ and write the values of θ in the interval 0 ≤ θ ≤ 2π. · 2. Find the number of solutions of tanx + secx = 2cosx in [0, 2π]. · 3. sin(2x) = 2 sinxcosx cos(2x) = (cosx). 2 - (sinx)2 cos(2x) = 2(cosx). 2 - 1 cos(2x)=1 - 2(sinx). 2. Half angle formulas. [sin(1. 2 x)]. 2. = 1. 2. (1 - cosx). [ ... Aug 23, 2022 ... = 2.( cos 4x + cos 2x) —1. = 2.{ 1 —. Mar 9, 2018 ... This video goes through the integral of sin(x/2) cos(x/2). This type of integral involves a Double Angle Formulas substitution. May 28, 2023 ... ... 1=2−2cos(α−β). Because the two distances are the same, we set them ... 18. sin(2x)cos(5x)−sin(5x)cos(2x)sin(2x)cos(5x)−sin(5x)cos(2x). 2cos2 2x (2cos 2x + 1) -1(2cos 2x + 1) = 0 (2cos2 2x – 1) (2 cos 2x + 1) = 0 ... 2cos x (2 sin 5x/2 cos x/2) = 0 4 cos x sin 5x/2 cos x/2 = 0. So, Cos x ... ... sin(5x) . (21.2). Thus, the general solution to our nonhomogeneous equation ... H⇒. 0 − 625[A · 4 · 3 · 2x + B · 3 · 2 · 1] = 300x + 50. H⇒. −15,000Ax ... Oct 26, 2022 ... Show that cos 2x cos x/2 – cos 3x cos 9x/2 = sin 5x sin 5x/2 #iitjee #maths. Then. Z x sin(x2) dx = Z. 1. 2 sin u du = 1. 2(-cos u) + C = -. 1. 2 cos(x2) + C. Now. Z 4. 2 x sin(x2) dx = -. 1. 2. ... 2+cosx(l-sinx)2=2. 9) sin xsin 2xsin3x = —sin4x; 10) sin4x + cos4x ... Тенгламани ечинг: 1) sin2x + 2cos2x = l; 2) cos2x + 3sin2x = 4 3) 3sin2x + ...