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Answer : 7π/18
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=
Find all solutions to cos(7a) - cos(a) = sin(4a) on 0 Sa<
Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
If tan = TT TT << 2 2 then sin =
Solve fort, 0 < t < 27. 32 sin(t)cos(t) = 12 sin(t)
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.)
8. Solve the equation 1-sin = cos on the interval 03 0<21. (12 pts)
Using the identity sin? 0 + cos² 0 = 1, find the value of tan 6, to the nearest hundredth, if sin 0 = -0.62 and 3 < 0 < 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.
Use a trigonometric identity to find exactly all solutions: cos 20 = sin , 0<o<21. Enter the exact answers in increasing order. O= Edit 6 31 Edit 2 II 5a 6 Edit