19. If the cos u= -5/13 where it <u<37 12 and sin v= 8/15 where tan...
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.
pls clear handwritin 12 13 with 8 15 Q#10 If cos= <o<r and tan 3 = with =<B< B< please do the following Final Answer a) Show prep work here (Triangle with sides labelled, Quadrant's CAST status if applies). See work at left! Final Answer a) Find sin(0-6). Final Answer Q#11 Please simplify this expression: 008x+ Page 8 of 11
5. In class we saw that the function r(u, v) = (sin u, (2 + cos u) cos v, (2 + cos u) sin v), 0<u<27, 050521 parametrizes a torus T, which is depicted below. (a) Calculate ||ru x rull. (b) Show that T is smooth. (c) Find the equation of the tangent plane to T at (0,). (d) Find the surface area of T (e) Earlier in the semester, we observed that a torus can be built out of...
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.
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.
If csc(I) = 6, for 90° <I< 180°, then Preview sin() = 0 cos(1) Preview tan (3) - Preview
8. Solve the equation 1-sin = cos on the interval 03 0<21. (12 pts)
osesin and 3 Given sin e 5 -7 37 sin B= 25' 2 Find tan(20) <B< 27.
QUESTION 12 Use a double-angle or half-angle identity to find the exact value of: cos(0) = and 270° <=< 360°, find sin 5 OAV10 10 B. 10 C. None of these OD 10 3 17 OE 4 QUESTION 13 Use a double-angle or half-angle identity to find the exact value of: 3 sin(0)= and 0° <o<90° , find tan 5 - šar 10 OA. 3 B.V10 Octs OD. -V10 E V30 QUESTION 11 Use a double-angle or half-angle identity to...
Show that cos e+sin e) sec2 e+2tan 2 cos2 e (12) (a) Hence find all values of 0, where 0<0< 2T, which satisfy the equation sec20+ 2 tan 0 (b) =2(2 + tan e) (cos e+sin e)