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Find the area of the sector of a circle with diameter 30 feet and an angle of . radians. Round your answer to four decimal places. A = Number ft 2 Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Equation 2 2 Editor A - A-IX BIUSX X Styles Font Size Words: 0Use Figure 1 to evaluate the trigonometric function. 4 3 B 10 Figure 1 Enter the exact answer. sin (a) ? tan A = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. A-A- BIUSX X Styles Font SizeFind the exact value of sin sin (a) sin = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. 20 24 Q > Equation A - A-I BIUSX X Styles Font SizeUse reference angles to evaluate sec ( 137 ) Enter the exact answers. For the number 7, either choose 7 from the bar at the top or type in Pi (with a capital P). The reference angle is va a sin (a) ? sin (a) sec 4 = Show your work and explain, in your own words, how you arrived at your answer. Answers withIf tant = >, what is tan (t - 7)? Enter the exact answer. V/a a sin (a) tan (t - 7) = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Q> Editor A - A- IX BIUSX X Styles Font SizeFor the function f (x) = -2 sin ( - " ), determine its amplitude and period, and then graph it for two periods. Enter the exact answers. For the number 7, either choose i from the bar at the top or type in Pi (with a capital P). Amplitude: A = Number V/a a sin (a) ? Period: P = Using your answers for the amplitude and period, select the correct graph of the function f(x) = -2sin (x - 3x 2\fShow your work and explain, in your own words, how you arrived at your answers. Explain how you used your answers for the amplitude and period in selecting your graph. Answers with no relevant explanations may receive reduced or no credit. El] 32 [E] [E] [E CL 3 E E o E a- I- 1; B I n 5 x; xi I o Styles ' Font ' Size ' Consider the function f (x) = 2 (cos (x - 37 ) + 2). Determine its amplitude, period, and midline. Enter the exact answers. For the number 7, either choose 7 from the bar at the top or type in Pi (with a capital P). Ampliude: A = Number a sin (a) Period: P = Midline: y = Number Show your work and explain, in your own words, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit. = Q > Editor A - A- IX BIUSX X Styles Font SizeFor the function f (x) = 3 cot x determine its stretching factor and phase shift, and then graph it for two periods. Enter the exact answers. Stretching factor = Number Phase shift: Click for List Using your answers for the stretching factor and phase shift, select the correct graph of the function f (x) = 3 cot r. 101. 8- O 31 3 1 NE 4 -2 -4 -6 8-\fX O 3 1 -2 4 -4 -8 -10 Show your work and explain, in your own words, how you arrived at your answers. Explain how you used your answers for the stretching factor and phase shift in selecting your graph. Answers with no relevant explanations may receive reduced or no credit. HE Equation Editor A - A- I BIUSX X Styles Font SizeIf a loading ramp is placed next to a truck, at a height of 6 feet. and the ramp is 21 feet long, what angle {in degrees] does the ramp make with the ground\"? Round your answer to onetenth of a degree. The ramp makes an angle of Lmter degrees with the ground. Show your 1work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. LUZ [T='[7'[TJQ 32.: @1252: Styles ' Font ' Size ' Use basic identities to simplify sin" x + cos- r sinc. Enclose arguments of functions in parentheses. For example, sin (2x). Remember that writing sin(x) to the fourth power as sin (@) is just a mathematical shorthand. You should write it as (sin (x) )4 , which is what Mobius expects. sin (a) ? sing r + cos x sinc = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Q X Equation A - A-Ix BIUSX X Styles Font SizeRewrite sin (x + ) in terms of sin x and cost. Simplify your answer. Enclose arguments of functions in parentheses. For example, sin (2x). sin (a) 00 ? sin (x + = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Equation Editor A - A-Ix BIUSX X Styles Font SizeThe volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 310 degrees K and a pressure of 18 atmospheres in a volume of 120 liters. Find the pressure if the volume is decreased to 100 liters and the temperature is increased to 320 degrees K. Round your answer to two decimal places. The pressure is '-.I_.-"::=sr atmospheres. Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. 2.3: ['a'l'm'itlg::: 1-:=:i:= E E Q BEES.\" 1' I' L B I u 5 Xe *2