FSA Home M Inbox (4 | Microor |C Microor = Untitled 18: MY UTE Courses microbi AMI Water is Q intellish JOB BO cengag 5.4 X X C @ https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=29922929&tags=autosave#question4887502_17 . . . Verify the identity. (Simplify at each step.) (5TL + x) = cos(x) sin sin + x = sin ST + cos (5TC = (1) + (0) ( = cos(x) Need Help? Read It Watch It Submit Answer 20. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Verify the identity. (Simplify at each step.) cos( STL [ - x) - V2 ( cos (x) + sin(x) ) 2 cos 5TT 4 x = Cos (5TT + sin (Sit ) = V2 ( cos ( x ) + sin ( x ) ) 2 4:00 PM H Type here to search O Brea.. ~64 11/18/2022FSA Home M Inbox (4| Microor C Microor | Untitled Up MY UTE Courses . microbi AM Water is Q intellish JOB BO cengag 5.4 X + = Micro C Micro = Untit 18 MY U| Cour | micro AM Wate Q intell JOB E Q ceng A ! X view "A https *Dash + X C https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=29922929&tags=autosave#question4887695_25 . . . 24. TOMTEST DETAILS IT NOTES ASK TOUR TEACHER TACTICE ANOTHER A weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by y = _ sin(4t) + - cos(4t), where y is the displacement (in feet) from equilibrium of the weight and t is the time (in seconds). (a) Use the identity a sin(BO) + b cos(BO) = va2 + b2 sin(B0 + C), where C = arctan( - ) and a > 0, to write the model in the form y = V a2 + b2 sin(Bt + C). (Round C to four decimal places.) y = (b) Find the amplitude of the oscillations of the weight (in ft). ft (c) Find the frequency of the oscillations of the weight (in cycles per second). cycles per second Need Help? Read It Watch It Type here to search O 56OF 4:25 PM 11/18/2022FSA Hom M Inbo> = Micro C Micro = Untit UP MY U| Cour | micro AMI Wate | intell JOB E Q ceng A ! X view "A https *Dash + X 0 a sin BO + b cos BO = V a2 + b2 cos(B0 - C), where C = arctan(a/b) and b > 0 Use the formulas given above to write the trigonometric expression in the following forms. 2 sin 30 + 2 cos 30 (a) Vaz+ 62 sin(BB + C) X Check your amplitude, period (or frequency), vertical shift, and phase shift. (b ) Va2 + 62 cos(BQ - C) Need Help? Read It Watch It Submit Answer Type here to search O 56OF 4:25 PM 11/18/2022