If[{Sin[(n + 1)x] + Sinx}/x] for lim x→0 = (1/2) then value of n is: (a) - 2.5 (b) - 0.5 (c) - 1.5 (d) - 1

Question MediumOpen in AppSolutionVerified by TopprThe given equation is ...... i Let Therefore, from i, we get Since, both these values satisfy the given equation. Hence, the solutions of the given equation are .Video ExplanationWas this answer helpful? 00
Solution Verified by Toppr. The given equation is. sin −1x+sin −1(1−x)=cos −1x. ⇒sin −1x+sin −1(1−x)= 2π−sin −1x. ⇒sin −1(1−x)= 2π−2sin −1x (i) Let sin −1x=y. ⇒x=siny.
Closed1 hour ago. Improve this question I am not able to do this sum the question is Prove that sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x So, kindly help me in doing this sum.
a) Prove the reduction formulaintegrate cos^n(x)dx = 1/n * cos^(n-1) * x sin x + (n-1)/n * integral cos^(n-2)x dx sinA - sin B = 2 cos 1/2 (A+B) sin 1/2 (A-B) sin(x+1)x-sin(x-1)x = 2cos 1/2 ((x+1)x + (x-1)x) sin 1/2 ((x+1)x - (x-1)x) = 2cos 1/2(x²+x+x²-x) sin 1/2(x²+x-x²+x) = 2cos 1/2(2x²) sin 1/2(2x) = 2 cos x² sin x but still positive), so each positive limit has a "basin of attraction" that includes an open inteval of values for $x_0$ slightly greater than the limit (and likewise, for each negative limit, an open interval of values slightly less than the limit -- since $|x_{n+1}|=|x_n\sin x_n|\le|x_n|$, successive terms in any sequence always get closer to the origin). Sin(n + 1)x - sin (n - 1)x = sin (nx + x) - sin(nx - x) = 2 cos ½ (nx + x + nx - x) sin ½ (nx + x - nx + x) = 2 cos ½ (2nx) sin ½ (2x) = 2 cos nx sin x C
Foreach of the following systems, determine whether the system is (a) linear, (b) (20 points) time-invariant, (c) causal, (dy memoryless, and (e) stable. (1) yln]xIn-11 sin [n] (2) y [n]-x [2n]+1 Time- Causal. sin (n+1)x sin (n+2)+cos (n+1)xcos (n+2)x = cosx - Brainly.in.
sinn+1)-sin(n-1)x= .. Rumlah Jumlah dan Selisih Sudut; Rumus jumlah dan selisih sinus/ kosinus/ tangen; Persamaan Trigonometri; TRIGONOMETRI; Matematika .
  • mxxi3j529x.pages.dev/38
  • mxxi3j529x.pages.dev/534
  • mxxi3j529x.pages.dev/245
  • mxxi3j529x.pages.dev/722
  • mxxi3j529x.pages.dev/241
  • mxxi3j529x.pages.dev/838
  • mxxi3j529x.pages.dev/134
  • mxxi3j529x.pages.dev/816
  • mxxi3j529x.pages.dev/322
  • mxxi3j529x.pages.dev/59
  • mxxi3j529x.pages.dev/188
  • mxxi3j529x.pages.dev/328
  • mxxi3j529x.pages.dev/5
  • mxxi3j529x.pages.dev/466
  • mxxi3j529x.pages.dev/282

    • sin n 1 x sin n 1 x