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8. Solve the equation 1-sin = cos on the interval 03 0<21. (12 pts)
Solve for t, 0 <t < 27 16 sin(t)cos(t) = 6 sin(t) t = Solve sec(4x) – 2 = 0 for the four smallest positive solutions X=
12. (8 points) Solve (sin 0)2 = 5.0 5 0 < 2t.
= 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.
Solve 5 sin(20) + 6 cos(0) = 0 for all solutions 0 = 0 < 27 Give exact answers or answers accurate to 3 decimal places, as appropriate
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
Question 25 25. Solve the trigonometric equation exactly over the interval 0 <3 < 27. cos(«) – sin(x) = 1 O 0, T, 27, 37 O 0, 21, 31 2 O 0, 1, 21 37 O 0, 21, 1 2 2 TT O 0, 1, Previous
Question Solve the equation cos(–a)tan’a + cos(-a) = - given that 0 sa< 27. Select the correct answer below: O a=1 O a=* O a = ; and O a= and FEEDBACK MORE INST Previous
Solve y'' + 4y = $(t – 6), y(0) = y'(0) = 0 g(t) = for t < 6 fort > 6