Biện luận số nghiệm của phương trình sin5x+2cos^2x=1 theo các tham số (nếu có).

Jan 22, 2011 ... Sinx+sin5x-2cos2x=0 2sin((x+5x)/2)*cos((5x-x)/2)-2cos2x=0 2sin3x*cos2x - 2cos2x=0 2cos2x*(sin3x-1)=0 1) cos2x=0 2x=pi/2+pi*n x=pi/4+pi*n/2 ... each problem, find the derivative of the function at the given value. 1) y = -sec (x) at x = p. 2) y = -2cos (2x) at x = 0 ... cos (2x) - 1. 47) lim x®0 sin ... Oct 30, 2020 ... 2 sin x; cos x; 2 cos x. Answer (Detailed Solution Below). Option 4 : 2 cos x. 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 ... Nov 29, 2011 ... Так как |sin(x)| < =1 и |cos(x)| < =1, то исходное равенство возможно при условии {sin(5x)=1 {cos(2x)=-1 sin(5x)=1 x1=п/10+2пк/5 kЄZ ... LHS=cos 2xcos\ x/2-cos 3x cos\ (9x)/2 =1/2[2cos 2xcos\ x/2-2cos 3x cos\ (9x)/2] =1/2[cos(2x + x/2)+cos(2x - x/2)-cos((9x)/2+3x)-cos((9x)/2-3x)] =1/2[cos\ ... sin5x cos2x sin2x 2 cos2x sin x 1 J cos2x 2 cos2x sin x cos x sin4x ... 2 2 cos 2x 1. 2 cos 4x)dx y sin4x dx 1. 4 y 1 2 cos 2x 1. 2 1 cos 4x dx cos2 2x ... Nov 2, 2015 ... What does it mean to prove a trigonometric identity? How do you prove cscθ×tanθ=secθ? How do you prove (1−cos2x)(1+cot2x)=1? How do you show ... 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). Jul 13, 2016 ... This looks extremely tedious. I'd work with the left side, factoring out sin x, and do substitution of sin4x by (1-cos2x)2 as starters.