2-8 Derive Equations (2.6) and (2.7) 0 1 (2.6) sin 0 0 cos0 O sin 0...
Verify the identity. (6 cos 0 - 2 sin 0)2 + (2 cos 0 + 6 sin 0)2 = 40 Choose the sequence of steps below that verifies the identity. B. O A. (6 cos 0 - 2 sin 0)2 + (2 cos 6 + 6 sin 0)2 = 36 cos 20 - 12 cos 0 sin 0 + 4 sin 20 + 4 cos 20 + 12 cos 0 sin 0 + 36 sin 20 = 36 (cos_0+ sin...
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0 = 2 csc 0. Which of the following shows the key steps in establishing the identity? 1 - cos e sin 0 ОА. + sin e 1 cos e 1 - cos e B + sin e 1 - cos 0 sin e (1 - cos 0)2 + sine 2 = 2 csc 6 sin 0(1 - cos ) cOS (1 - cos 02...
4. (Challenge Exercise) The parametric equations of a cycloid are: x = 2(0 - sin 8), y = 2(1 - cos 6). Determine two points where the tangent to this cycloid is vertical.
5. Let's familiarize ourselves with the rotational Hamiltonian a bit more: 1 024(0) sin(0) O.. 24(0) 21E 250 4(0) 202 + yo) sin(0) 20 = 72 sin?(O) In the last problem set you analyzed the l = 1, m = 1 wavefunction. Let's do a harder one this time. a. If YO.4(0) = sin_(O) .ezid, what is m? Can you guess what l is equal to? Hint, the (2 pts) energy is E = 3 b. Now can you show...
Establish the identity 1-2 sin?o coso-2 sin o= cos (20) Choose the sequence of steps below that verifies the identity. O A. 1-2 sin cos 20-2 sin “e= (cos20-sine)(12 sin 2e) = 1.cOS (20) = COS (20) OB. 1-2 sin 2ecos 20-2 sin “e= (cos20-sine) (1-2 sin 2e) = 1. cos (20) = cos (20) OC. 1-2 sin 2ecos 20-2 sin “e = (cos 20+ sin?e) (1-2 sin 20) = 1. cos (20) = cos (20) OD. 1-2 sin 20...
Select the correct statement. 3e-8 52 + 9 *} sin(3t) *e! O N {}={2- t <3 3 t > 3 O None of the other options о {*} = 6(e – 2)51 OL-{L {** f(t)}} = f(") (t) Select the correct statement. of{e * sin(2) +e*t} - 2+2+5 8 (-3) None of the other options O L {eztult - 3)} = e-3 L {e2(t-"}} w O (t + 1)2 5 (t-1) 5 x{05e-1) + at -1)}- di (-4e")+eos ${sin(t –...
O TRIGONOMETRIC IDENTITIES AND EQUATIONS Double-angle identities: Problem type 1 3 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant III. 10 . 0/0 sin 2x = X5 ? cos 2x tan 2x L
All of them please if you can 6. Solve the Dirichlet problem 0<r<3 la(3.0) = 1-cos0+ 2 sin 20. θ < 2π 0 7. Solve the Dirichlet problem lu(3,0) = 3-2 sin θ + cos 20, θ 0 2π 8. Solve the Dirichlet problem a(3,0) 2 + sin 20, 0 θ<2π 6. Solve the Dirichlet problem 0
Verify the identity. (3 cos 0-6 sin 0)2 + (6 cos 0+3 sin 0)2 = 45 Choose the sequence of steps below that verifies the identity. O A. (3 cos 0-6 sin 0)2 + (6 cos 0 + 3 sin 0)2 = 9 cos - 36 sin 20 + 36 cos 20+9 sin ?e =9 (cos?0+ sin 20) +36 (cos 20+ sin ?e) = 9+ 36 = 45 O B. (3 cos 0 - 6 sin 0)2 + (6 cos...
1. (15 points) (a) Derive the shear and moment equations (as a function of x) for the beam shown. Also draw the shear and moment diagrams. (b) Derive the slope and displacement equations for the beam. ksin acos nx=-sin nx + C kL a sin nx =--cos nx + C 71