Trigonometry Final Review - Pensacola State - Bloxom - Summer 2016 - D Term
6 miles Q29-E1
A boat sails for 2 hours at 30mph in a direction 95°58'. How far south has it sailed to the nearest mile?
sinθ = 8sqrt89/89 cosθ = -5sqrt89/89 tanθ = -8/5 Q11-E1
An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the sine, cosine, and tangent of the angle. 8x + 5y = 0, x< or = 0;
Method 1 = 135° Method 2 = S 45° E Q26-E1
An observer for a radar station is located at the origin of a coordinate system. For the point given, find the bearing of an airplane located at that point. Express the bearing using both method (3,-3)
A=60°44' C=80°28' c=44.5 2nd Triangle A₂=119°16' C₂=21°56' notes
Complete the triangle B=38°48' a=39.4 b=28.3
0 Q10-E1
Evaluate the expression. cot 270
1 Q19-E1
Evaluate. sin2 45°+ cos2 45
35/4 Q18-E1
Evaluate. Show all Work. 3tan²60 + 3sin²30 - 3cos²360
0 Q14-E1
Evaluate. the expression. sin(-540)
r=8 / r^3=2 k=0 == 20 / 2(cos20+isin20) k=1 == 140 / 2(cos140+isin140) k=2 == 260 / 2(cos260+isin260) notes
Find 3 distinct cube roots 4+4sqrt3i
r=8 / r^3=2 k=0 == 40 / 2(cos40+isin40) k=1 == 160 2(cos160+isin160) k=2 ==280 / 2(cos280+isin280) notes
Find 3 distinct cube roots 8cis120
r=1 / r^3=1 θ=0 / 1(cos0+isin0) θ=120° / 1(cos120+isin120) θ=240° / 1(cos240+isin240) notes
Find 3 distinct cube roots x=1 y=0
r=32 / r^3=4 k=0 == 22.5 / 4(cos22.5+isin22.5) k=1 == 112.5 / 4(cos112.5+isin112.5) k=2 == 202.5 / 4(cos202.5+isin202.5) k=3 == 292.5 / 4(cos292.5+isin292.5) notes
Find 4 distinct cube roots 32i
C =90° notes
Find C a=sqrt5 c=2sqrt5 A=30°
β = 18° Q17-E1
Find a solution for the equation. Assume that all angles are acute angles. Show all work. sin(2β + 10°) = cos(β - 10°)
60° and 300° Q20-E1
Find all values of 8, if 8 is in the interval [0,360°)and has the given function value. 1 cosθ = 1/2
317° Q3-E1
Find the angle of least positive measure coterminal with the given angle. 1397°
52° 38° Q2-E1
Find the measure of each angle in the problem. Show all work below. Complementary angles with measures 4x and 5x - 27degrees
77° 103° Q1-E1
Find the measure of each angle in the problem. Show all work below. Supplementary angles with measures 2x +7 and 3x - 2 degrees
72° Q9-E1
Find the reference angle for the given angle. 108°
Quadrant III Q13-E1
Identify the quadrant for the angle a satisfying the following conditions. tanθ >O and sinθ <0
Negative Q15-E1
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. II, x/y
MODE -> DEGREES -> POLAR -> WINDOW -> ... -> 2nd -> TBLSET ... -> Y= cos(2θ) -> GRAPH notes
Show in calculator 2x+y=5
MODE -> DEGREES -> POLAR -> WINDOW -> ... -> 2nd -> TBLSET ... -> Y= r₁=sqrt(4sin2θ) , r₁= -sqrt(4sin2θ) -> GRAPH notes
Show in calculator r²=4sin2θ
sinθ = -2sqrt5/5 cosθ = sqrt5/5 tanθ = -2 Q8-E1
Sketch an angle θ in standard position such that θ has the least positive measure and the given point is on the terminal side of θ. Then state the sine, cosine, and tangent of the angle. (3,-6)
136km Q27-E1
Solve the problem. A ship travels 58 km on a bearing of 21°, and then travels on a bearing of 111° for 123 km. Find the distance from the starting point to the end of the trip, to the nearest kilometer.
263ft or 246ft Q25-E1
Solve the problem. From a balloon 834 feet high, the angle of depression to the ranger headquarters is 72°28'.How far is the heaMers from a point on the ground directly below the balloon (to the nearest foot)? Show all work.
717 ft Q24-E1
Solve the problem. From a boat on the lake, the angle of elevation to the top of a cliffis 30°59'. If the base of the cliff is 1194feet from the boat, how high is the cliff(to the nearest foot)? Show all work.
70 lbs Q21-E1
Solve the problem. 21) The grade resistance Fof a car traveling up or down a hill is modeled by the equation F = W sin 8, where W is the weight of the car and 8 is the angle of the hill's grade (8 >0for uphill travel, 8 <0 for downhill travel). What is the grade resistance (to the nearest pound) of a 2000-lb car traveling uphill on a 20 grade (θ = 2°)
197.7 Q7-E1
Solve the problem. Round answers to the nearest tenth if necessary. A triangle drawn on a map has sides of lengths 7em, 11em, and 15em. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances.
-3sqrt7/7 Q12-E1
Use the fundamental identities to find the value of the trigonometric function. Show all work. Find tan θ, given that sinθ = 3/4, and θ is in quadrant II.
(4,210) (4,570) (-4,390) (-2sqrt3,-2) notes
Write 2 other equivalent rectangular coordinates then give the coordinates on a polar graph (-4,30)
(3,480) (-3,300) (-3/2,(3sqrt3)/2 notes
Write 2 other equivalent rectangular coordinates then give the coordinates on a polar graph (3,120°)
r=sqrt2 θ=45 (sqrt2,45) (-sqrt2,225) (sqrt2,405) notes
for the given rectangular coordinates, plot the point and give 2 rectangular polar points (1,1)
r=sqrt3 θ=60 (sqrt3,60) (sqrt3,420) (-sqrt3,240) notes
for the given rectangular coordinates, plot the point and give 2 rectangular polar points (sqrt3/2,3/2)
r=2sqrt2 θ=45 1024-1024i notes
write the product in rectangular form (2+2i)⁷
5+5sqrt3i notes
write the product in rectangular form (2cis300)(5cis120)
(3sqrt3)/2 *i notes
write the product in rectangular form (9cis65)/(3cis305)
r=2 θ=30 -16sqrt3 + 16i notes
write the product in rectangular form (sqrt3+i)⁵
-3i notes
write the product in rectangular form (sqrt3cis45)(sqrt3cis225)
sqrt3+i notes
write the product in rectangular form 2(cos120+isin120)
-sqrt3+3i notes
write the product in rectangular form [3(cos60 + isin60)]
64i notes
write the product in rectangular form [4(cos30 + isin30)]
