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.
= 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.
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.
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