
I use residue to solve this problem
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
19. If the cos u= -5/13 where it <u<37 12 and sin v= 8/15 where tan v<0, find sin (u+v)
Rewrite 2 sin(x) + 3 cos(x) as A sin(x + o) A= Preview Preview Note: should be in the interval - << 1. Uploaded Work in Canvas = 3 pts
TT If sin sin (m) cos(0) and 0° < 2. t then 2 =
osesin and 3 Given sin e 5 -7 37 sin B= 25' 2 Find tan(20) <B< 27.
Find the exact value of the expression cos(sin If sin = sin 2 15 find the exact value of cos(20) Solve sin 2x = cos 2x, where 0 <x<21.
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
(7 pts) Use double angle identities to find the indicated value. 13) cos o = sin 0 <0 Find sin(20).
Eliminate the parameter to sketch the curve: 2 = sin -0, 1 y = cos -0, 20, - <O<a