WebThe general solution of sin x – 3 sin 2 x + sin 3 x = cos x – 3 cos 2 x + cos 3 x is A n π + π 8 B n π 2 + π 8 C ( - 1) n n π 2 + π 8 D 2 n π + c o s - 1 3 2 Solution The correct option is B n … Web22 Jun 2024 · sin x + sin 5x = 2sin 3x.cos 2x Right side: sin 2x + sin 4x = 2sin 3x.cos x f (x) = 2sin 3x.cos 2x - 2sin 3x.cos x = 0 (2sin 3x) (cos 2x - cos x) = 0 Either factor should be zero. a. sin 3x = 0 x = 2kπ, and x = π+ 2kπ = (2k + 1)π, and x = 2kπ b. cos 2x - cos x = 0 Reminder of trig identity: cosa − cosb = − 2sin( a + b 2).sin( a −b 2) In this case:
The general solution of sinx −3sin2x+sin3x=cosx−3cos2x+cos3x i…
Webפתור בעיות מתמטיות באמצעות כלי פתרון בעיות חופשי עם פתרונות שלב-אחר-שלב. כלי פתרון הבעיות שלנו תומך במתמטיקה בסיסית, טרום-אלגברה, אלגברה, טריגונומטריה, חשבון ועוד. Web3 2 2 substituting x = in 2nd , = = – sec 3 · 2 4 4 cos 3 cos 3 cos cos 3 2 4 4 which is +ve and greater than 1. 3 Hence solution set is 2n + , n I ] 4 EXERCISE-II Q.1982/6 Find the general solution of the trigonometric equation x x sin + cos = 2 sin x 2 2 x [Sol. LHS 2 sin = 2 sin x 2 4 grounded version
The general solution of the trigonometric equation sin x - BYJU
Web20 Feb 2024 · To get the general solution, use the sin(a + b) formular with sin(3x) = sin(2x + x), Then manipulate the terms on both sides until you get the golden ratio forumula: x^2 - x - 1 = 0, where x = 2 cosx. Webof either y =sin x or y = cosx by means of two simple transformations (taken in any order). 1. A stretch parallel to the y-axis by a factor of R, the amplitude, and 2. A translation parallel to the x-axis by either α or β (depending on whether you wish to start with sin x or cos x as the original function). Consider, for example y =sin x +cosx. Web9 Sep 2024 · Answer: sinx - 3sin2x + sin3x = cosx - 3cos2x + cos3x sinx + sin3x - 3sin2x = cosx + cos3x - 3cos2x 2sin2xcosx - 3 sin2x - 2cos2x cosx + 3cos2x = 0 sin2x (2cosx - 3) - cos2x (2cosx - 3) = 0 (2cosx - 3) (sin2x - cos2x) = 0 sin2x = cos2x as cos x ≠ 3/2 2x = 2n∏ ± (∏/2 - 2x) x = n∏/2 + ∏/8 Answered by Expert 10th September 2024, 9:27 AM grounded venom arrow