For each of the following, determine wo, R and 8 to rewrite the expression in the...
1. Next > For each of the following, determine wo, R and to rewrite the expression in the form u = R cos(wot - 8), with 0 <$< 27. a. 6 cos(4t) + 8 sin (4) Wo = R= s= CP CI b. - 3 cos(96t) – V9 sin(97t) Wo = R= S =
please answer 1,2 &3! 1. 2. 3. Rewrite the following expression using a double-angle identity. 2 cos 2150 - 1 2 cos 2150 -1 = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) 15 Given that sin 0 = - and cos 0 <0, determine sin (20), cos (20) and tan (20). 17 sin (20) = (Type a simplified fraction.) Complete the following statement. tan= 1 - cos 20 so tan 210x...
State the quadrant in which lies. sin(8) <0, cos(8) < 0 OII III OIV 8 If sin() and 8 is in the 1st quadrant, find the exact value for cos(8). 9 cos(8) - > Next Question State the quadrant in which lies. tan(8) > 0, csc(8) < 0 01 OII O III OIV
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
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
Find the product. Leave the result in trigonometric form. (Let 0° s O < 360°.) (cos 2° + i sin 2°) (cos 24° + i sin 24°) x
Question 10 > In a circle of radius 3 miles, the length of the arc that subtends a central angle of 6 radians is miles. ho > Next Question Question 11 < > Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 265 (x,y) =( Question 14 <> Write in Polar form: r(cos( + i sin 0). (0 < 0 < 27 and round to 3 decimal places) -12 + 6i T=...
= 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.
Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts] Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y +22)j + xk
8. Solve V?u=0, 2<r<4,0<O<21, (u(2,0) = sin 0, u(4,0) = cos 0,0 5 0 5 21.