5. (6 points) Find all values of 0, where 0 es 2n, where tan 8-1. Show...
1. (5 pts. Use identities to find the exact values of cos 0 and tan 0 if sin =- and is in the third quadrant. Show your work.
(5) Find the general solution of the equation 6 – tan tan -1=2 tan . (6) Find the general solution of the equation 3 cosO + 7 cos – 6= 0. (7) Find the general solution of the equation 5 cos @ +9= 12 sinº O. (8) Find the general solution of the equation 3 sec + 3 cos + 10 = 0.
5 Let O be an angle such that sin 0 and tan 0 <0. 8 Find the exact values of cot and sec O. cot $ ? secô = ]
6) Use the fundamental identities to find the values of sin(a), tan(a), and sec(a) if cos (a) 3 and tan (a)>0 5 (8 pts)
Q9 (Approximation of π) (a) Show that 1/1 + t2 = 1 − t2 + t4 − ... + (−1)n−1 t 2n−2 + (−1)n t2n /1 + t2 for all t ∈ R and n ∈ N. (b) Integrate both side in (a), show that tan−1 (x) = x − x3/3 + x5 /5 − ... + (−1)n−1x 2n−1/ 2n − 1 + Z x 0 (−1)n t2n /1 + t2 dt. (c) Show that tan−1 (x) − ( x...
Question 5 of cosa = (0<a<) and tanB = { (0<B<į), find tan(a+B) 5 If cosa = and 2 12 and simplify your answer completely. Show all of your work. Failure to show appropriate work will result in a mandatory s Use the editor to format your answer Question 6 Question 9 If sino = 2 3 find cos2e. Simplify you Show all of your work. Failure to show ap Use the editor to format your answer Question 14 Express...
attempted, please help! OnCALTOA 9. (12pts) Find all the trig function values for each angle. cost=-3/5, with tan 1<0 a. sin6--3/5 and tan 0--3/ b. CSC sece cos sec / tan3 cot cot 10(4pts)Find the exact value of sin (tan- OnCALTOA 9. (12pts) Find all the trig function values for each angle. cost=-3/5, with tan 1
please show work :) 5.Solve 3 sinº 8 tan 8 – 13 sinº 8 = 0 for exact solutions over the interval 6. Solve Triangle ABC, given that A = 47°32', b = 7956x c=115).
Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points, numerical values, incl. the angle of departure (possibly in terms of tan(x (b) Find the gain when the roots are both equal and find these 2 equal roots. 6 pts) 4 pts) Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points,...
11. (6 points) Find the sum of the following series: (a) Σ 2n +1 3η n=0 ΟΙ (5) Σ n! ΠΟ