A solar panel solar panel, the Find the exact value of each trigonometric function. be used to sup ground. W 5) sin 0 12-ft be 1020 6) Suppose O is an angle in standard position with terminal arm in quadrant II and sin 0 = 15 17 Determine the exact values of the other two primary trigonometric ratios. Solve each triangle (Find all missing sides and angles). Round your answers to the nearest tenth. 7) mLA = 390, MLB =520, a=12 State the number of possible triangles that can be formed using the given measurements. 8) mLC = 260, b= 31, c=9 LLC . All rights reserved.-2- Made with Infinite Algebra 2Math 20-1 (You will lose one mark if name missing) -->NameHumphrey Asante 0 2021 Kuta Software LLC . All rights reserved . Unit 1: Sequences and Series Assignment Date Find the common difference, the 52nd term, and the SIMPLIFIED general term formula. 1) 21, 51, 81, 111, ... Find the first five terms and the SIMPLIFIED general term formula. 2) a = -4, d =2 = -4x20-2 1= 1:0,= 2x1-6= 2-6 =_ yanswers an = at (n-1)d - 2n - 6 1 = 2 : 4 = 2 x2=6= 4- 6 =-2 an = 2n - 6 diz-4 day an - 2n - c n = 3 : a3 = 2 x 3 - 6 = 6.6 = 0 4 27 - 2 an =out (it (n - 1 ) * 2 n=4: Que = 2x4- 6:8-6=2 43=0 = = 4 Rx 2 - 1x 2 n = s:a5 =2x5+6=10-6 =4 4 = 2 Find the common difference and the SIMPLIFIED general term formula. as = y 3) a = 1322 and a= 3722 Find the missing term or terms in each arithmetic sequence. 4 ) ..., 27 , 31, 35, 39, 43 , ... 27 + 4 = 31 adding 4 cack time st+4 = 35 35+ 4 = 39 34 + 4 = 43 Evaluate each arithmetic series described. the sequence is an arithmetic progression with a common 5) 9 + 15 + 21 + 27..., n=9 difference of 6 -> as = 27 + 6 = 33 al= 9 Notice that: uz - a, = 6 and up - d2=6 96 =33+6= 34 92 = 10 we can deduce that: anti = an to 93= 21 we can test this on the youform: ay should iqua 21+ 6=27 Given two terms in a geometric sequence find the first five terms. 6) a, = -162 and a, =-6 20 21 Kuta Software LLC . All rights reserved- Made with Infinite Algebra 2Find the missing term or terms in each geometric sequence. 7) ..., 2, 10, 50, 25() 1250, ... multiplying 5 each time 5 = 5 a = 2. 5n - 1 Evaluate the geometric SERIES described. 8) 4 -24+ 144 -864..., n= 6 at 24+ 144 + 864+ ( 864 x 6)+ (864 x 6XC) = 4+ 24 + 144 + 864 + 5184 +31104 = 37324 Determine the number of terms n in this geometric SERIES. 9) - 5- 5 5 5 16400 3 S 9 27 2187 10) Dana is rock climbing. She climbs 70 m up a cliff in the first hour. In each of the next four hours, she climbs 65% of the distance of the previous hour. What is the total distance Dana climbs after six hours? (SHOW WORK) 11) A sweepstakes gives away $1 000 000, by giving away $30 in the first week, $120 in the second week, $480 in the third week, and so on. How many weeks will it take to give away all of the prize money? (SHOW ALL WORK) Determine if each geometric series converges or diverges, and state sum of the series if it exists. 3 3 3 12) 3 - 5 25 125 rights reserved -2-Made with Infinite Algebra 2.In each case the graph of f(x) is shown. Sketch the graph of y = f(x) . m 8 6 4 -2 4 6 18 6 4 4 6 8 8 6 4 2A solar panel rests on a 12-ft beam anchored in the ground. To maximize the efficiency of the solar panel, the beam must be at an angle of 38 from the ground. One end of an 8-ft beam will be used to support the free end of the 12-ft beam, and the other end will be anchored in the ground. What are the two possible distances, to the nearest tenth of a foot, from the base of the 12-ft beam that the 8-ft beam can be anchored? Solve each triangle (Find all missing sides and angles). Round your answers to the nearest tenth. 10) a = 12.6 mi, c= 29.2 mi, m/B =27.80 11) b = 12 m, a = 1lm, c= 13 m 12) In a baseball diamond, the bases are 90 ft apart. The second baseman stands back from the base line, AC, to cover the territory between first base, C, and second base, A. If the second baseman is standing at point B, which is 10 ft from the baseline at an angle of 9 to first base, how far is the player from second base?Math 20-1 (You will lose one mark if name is missing)-->Name Humphrey Ascurte 202 1 Kuta Software LLC . All rights reserved . Unit 2: Trigonometry Assignment SHOW ALL WORK ! Date Draw an angle with the given measure in standard position. State the measure of the reference angle. 1) -10 Solve each equation for 0