Laws of Sins and Cosines
The angle C if c=23.3, B=97 degrees, and b=33.8, rounded to one decimal place.
What is 43.2 degrees?
The vector 5v where v=-6i-4j.
What is -30i-20j?
The smallest two solution(s) to 2cos(3x)=1 in [0, 2pi).
What are pi/9 and 5pi/9?
The polar form of the point (x, y) = (3, 3).
What is (r, theta) = (3sqrt(2), pi/4)?
The number of petals on the graph of the rose r=6cos(5*theta).
What is 5?
The angle A if a=46, b=19, and c=36, rounded to one decimal place.
What is 109.6 degrees?
(5i+2j)-(6i+j).
What is -i+j?
All solutions to cos(2x)-cos(x)=0.
What are 2pi/3+2kpi, 4pi/3+2kpi, and 2kpi for all integers, k?
Two other polar representations of (r, theta) = (4, pi/3).
What are (r, theta) = (-4, pi/3), and (r, theta) = (4, 10pi/3)?
The type of curve represented by r^2=a^2cos(2theta).
What is a lemniscate?
Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a parasail to be 18 degrees. The same observer standing on the ground next to the tower measures the angle of elevation to be 21 degrees. If the eye level of the observer is 5ft, this is the height of the parasail to the nearest foot.
What is 15.77 degrees?
The length of the vector u+v where u=<-4,4> and v=<1,3>.
What is sqrt(58)?
The solutions to sin^2(x)-2cos(x)=2 in [0, 2pi).
What is pi?
The rectangular form of the polar equation r=2sec(theta).
What is x=2?
The type of limacon represented by r=2-2sin(theta).
What is a Cardioid?
The square footage of a triangular sign with sides 12, 8, and 8 inches, rounded to two decimal places?
What is 31.75 square inches?
I first wander from home 2 miles S16E and then 5 miles due South. This is the distance I'd have to walk to get home rounded to the nearest tenth of a mile.
What is 6.9 miles?
All solutions to 2tan^2(x)=-3sec(x).
What are 2pi/3+2kpi and 4pi/3+2kpi for all integers, k?
The cartesian form of the point (r, theta) = (-3, 5pi/3).
What is (x, y) = (-3/2, 3sqrt(3)/2)?
The graph of r=3sin(theta).
(Have instructor check graph)
A satellite calculates the distance to one city at 390 km and another 380 km. The angle between the lines from satellite to city is 2.4 degrees. This is the distance between the two cities rounded to the nearest tenth.
What is 19 km?
This is the component form of a jet's true velocity if it is traveling N60W at 500 mph and there is a 20 mph wind blowing toward the south.
What is <-250sqrt(3), 230>?
Both solutions to 4sin^2(x)+sin(2x)sec(x)-4=0 in [0, 2pi), rounded to 3 decimal places.
What are 0.896 and 2.246?
The polar form of the Cartesian equation x^2+(y+1)^2=1, solved for r.
What is r=-2sin(theta)?
The graph of r=1-2cos(theta).
(Have instructor check graph)